Výsledky vyhľadávania - "Geometric measure and integration theory, integral and normal currents in optimization"

On the L 1-relaxed area of graphs of BV piecewise constant maps taking three values: On the \(L^1\)-relaxed area of graphs of BV piecewise constant maps taking three values

Autori: Scala, Riccardo Scianna, Giuseppe

Prispievatelia: Scala, Riccardo Scianna, Giuseppe

Zdroj: Advances in Calculus of Variations. 18:339-365

Predmety: Length, area, volume, other geometric measure theory, minimal connections, Methods involving semicontinuity and convergence, relaxation, Plateau problem, relaxation, minimal connections, area functional, minimal surfaces, piecewise constant maps, Geometric measure and integration theory, integral and normal currents in optimization, plateau problem, minimal surfaces, \( \mathbb{S}^1 \)-valued maps, Minimal surfaces and optimization, piecewise constant maps, area functional, Plateau problem

Popis súboru: application/xml; application/pdf; ELETTRONICO

Prístupová URL adresa: https://zbmath.org/8018514
https://doi.org/10.1515/acv-2023-0108
https://hdl.handle.net/11365/1277275
https://www.degruyter.com/document/doi/10.1515/acv-2023-0108/html
https://doi.org/10.1515/acv-2023-0108

Relaxation of the area of the vortex map: A non-parametric Plateau problem for a catenoid containing a segment: Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment

Autori: Giovanni Bellettini Alaa Elshorbagy Riccardo Scala

Zdroj: Journal of Functional Analysis. 289:110947

Predmety: Mathematics - Analysis of PDEs, relaxation, Methods involving semicontinuity and convergence, Variational problems concerning minimal surfaces (problems in two independent variables), non-parametric minimal surfaces, Geometric measure and integration theory, integral and normal currents in optimization, Variational problems in a geometric measure-theoretic setting, FOS: Mathematics, 49Q15, 49Q20, 49J45, 58E12, RelaxationNon-parametric minimal surfacesPlateau problemArea functional in codimension two, plateau problem, area functional in codimension two, Analysis of PDEs (math.AP)

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: http://arxiv.org/abs/2409.14210
https://zbmath.org/8036432
https://doi.org/10.1016/j.jfa.2025.110947
https://hdl.handle.net/11365/1290135
https://doi.org/10.1016/j.jfa.2025.110947

Maximal directional derivatives in Laakso space

Autori: Marco Capolli Andrea Pinamonti Gareth Speight

Zdroj: Communications in Contemporary Mathematics. 27

Predmety: analysis on metric spaces, differentiability, Laakso spaces, Lipschitz functions, maximal directional derivatives, porous sets, Derivatives of functions in infinite-dimensional spaces, 46T20 (Primary), 49J52, 49Q15 (Secondary), Nonsmooth analysis, Geometric measure and integration theory, integral and normal currents in optimization, Metric Geometry (math.MG), 01 natural sciences, Continuous and differentiable maps in nonlinear functional analysis, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Metric Geometry, 0103 physical sciences, FOS: Mathematics, 0101 mathematics

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2208.03361
https://hdl.handle.net/11572/438272
https://doi.org/10.1142/S0219199724500172

The Sormani–Wenger intrinsic flat convergence of Alexandrov spaces: The Sormani-Wenger intrinsic flat convergence of Alexandrov spaces

Autori: Nan Li Raquel Perales

Zdroj: Journal of Topology and Analysis. 12:819-839

Predmety: integral currents, Mathematics - Differential Geometry, Global geometric and topological methods (à la Gromov), differential geometric analysis on metric spaces, Geometric measure and integration theory, integral and normal currents in optimization, Metric Geometry (math.MG), 16. Peace & justice, 01 natural sciences, Gromov-Hausdorff convergence, intrinsic flat convergence, Mathematics - Metric Geometry, Differential Geometry (math.DG), FOS: Mathematics, Integral geometry, 0101 mathematics, Alexandrov spaces

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/pdf/1411.6854
http://arxiv.org/abs/1411.6854
http://ui.adsabs.harvard.edu/abs/2014arXiv1411.6854L/abstract
https://www.worldscientific.com/doi/10.1142/S1793525319500651

Quadratic tilt-excess decay and strong maximum principle for varifolds

Autori: Reiner Schätzle

Zdroj: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :171-231

Predmety: varifolds, Geometric measure and integration theory, integral and normal currents in optimization, strong maximum principle, Nonlinear elliptic equations, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, 0101 mathematics, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://journals.sns.it/index.php/annaliscienze/article/download/33/26
https://zbmath.org/2217258
https://eudml-prod.vls.icm.edu.pl/doc/84524
http://www.numdam.org/item/ASNSP_2004_5_3_1_171_0.pdf
http://annaliscienze.sns.it/public/pdf/abstracts/2004/1/Abstract_8-2004.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=5465363
https://journals.sns.it/index.php/annaliscienze/article/view/33
https://eudml.org/doc/82745

The relaxed Dirichlet energy of mappings into a manifold

Autori: GIAQUINTA M MUCCI, Domenico Giaquinta, M a ďalší

Prispievatelia: GIAQUINTA M MUCCI, Domenico Giaquinta, M a ďalší

Zdroj: Calculus of Variations and Partial Differential Equations. 24:155-166

Predmety: lower semicontinuous envelope, Methods involving semicontinuity and convergence, relaxation, Geometric measure and integration theory, integral and normal currents in optimization, Variational problems in a geometric measure-theoretic setting, relaxed Dirichlet energy, Harmonic maps, etc, Dirichlet integral

Popis súboru: application/xml

Prístupová URL adresa: https://link.springer.com/article/10.1007/s00526-004-0318-1

BOUNDARY PROBLEMS FOR THE GINZBURG–LANDAU EQUATION: Boundary problems for the Ginzburg-Landau equation.

Autori: Chiron, David

Prispievatelia: Chiron, David

Zdroj: Communications in Contemporary Mathematics. :597-648

Predmety: NLS equations (nonlinear Schrödinger equations), Geometric measure and integration theory, integral and normal currents in optimization, Nonlinear elliptic equations, 01 natural sciences, boundary problems, Neumann condition, Ginzburg-Landau vortex, Boundary value problems for second-order elliptic equations, Variational methods involving nonlinear operators, anchoring condition, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, Singular perturbations in context of PDEs, Dirichlet datum

Popis súboru: application/pdf; application/xml

Prístupová URL adresa: http://hal.inria.fr/docs/00/80/92/94/PDF/boundary.pdf
https://hal.science/hal-00809294v1
https://hal.science/hal-00809294v1/document
https://doi.org/10.1142/s0219199705001908
https://zbmath.org/2239065
https://doi.org/10.1142/s0219199705001908
https://hal.archives-ouvertes.fr/hal-00809294
https://hal.archives-ouvertes.fr/hal-00809294/document

The coarea formula for real‐valued Lipschitz maps on stratified groups: The coarea formula for real-valued Lipschitz maps on stratified groups

Autori: MAGNANI, VALENTINO

Zdroj: Mathematische Nachrichten. 278:1689-1705

Predmety: Length, area, volume, other geometric measure theory, Fractals, coarea formula, Nilpotent and solvable Lie groups, Lipschitz maps, 4. Education, 0103 physical sciences, Geometric measure and integration theory, integral and normal currents in optimization, Optimality conditions for free problems in one independent variable, Carnot-Carathéodory distance, stratified groups, perimeter measure, 0101 mathematics, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://core.ac.uk/display/54895638
http://www.dm.unipi.it/~magnani/works/coasca.pdf
https://hdl.handle.net/11568/92666

Stochastic currents

Autori: FLANDOLI, FRANCO GUBINELLI, MASSIMILIANO GIAQUINTA M a ďalší

Zdroj: Stochastic Processes and their Applications. 115:1583-1601

Predmety: Statistics and Probability, Pathwise stochastic integration, Stochastic integrals, Modelling and Simulation, Applied Mathematics, geometric measure theory, Geometric measure and integration theory, integral and normal currents in optimization, Geometric measure theory, pathwise stochastic integration, 0101 mathematics, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2211396
https://doi.org/10.1016/j.spa.2005.04.007
https://hdl.handle.net/11568/184110
https://hdl.handle.net/11384/69142

A lower semicontinuity result for some integral functionals in the space SBD: A lower semicontinuity result for some integral functionals in the space \(SBD\)

Autori: Francois Ebobisse

Zdroj: Nonlinear Analysis: Theory, Methods & Applications. 62:1333-1351

Predmety: 49J45, 49Q20, 74C15, Methods involving semicontinuity and convergence, relaxation, Large-strain, rate-independent theories of plasticity (including nonlinear plasticity), Geometric measure and integration theory, integral and normal currents in optimization, 0211 other engineering and technologies, special functions with bounded deformation, 02 engineering and technology, 01 natural sciences, Functional Analysis (math.FA), lower semicontinuity, Mathematics - Functional Analysis, integral functionals, Variational problems in a geometric measure-theoretic setting, FOS: Mathematics, Energy minimization in equilibrium problems in solid mechanics, symmetric quasiconvexity, 0101 mathematics

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/pdf/math/0306428
http://arxiv.org/abs/math/0306428
https://cvgmt.sns.it/media/doc/paper/1298/EBOBD2.pdf
http://ui.adsabs.harvard.edu/abs/2003math......6428E/abstract
https://www.sciencedirect.com/science/article/pii/S0362546X0500492X

On sequences of maps into a manifold with equiboundedW1/2-energies: On sequences of maps into a manifold with equibounded \(W^{1/2}\)-energies

Autori: GIAQUINTA M. MUCCI, Domenico Giaquinta, M. a ďalší

Prispievatelia: GIAQUINTA M. MUCCI, Domenico Giaquinta, M. a ďalší

Zdroj: Journal of Functional Analysis. 225:94-146

Predmety: geometric measure theory, Fractional Sobolev spaces, Geometric measure and integration theory, integral and normal currents in optimization, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, 16. Peace & justice, fractional Sobolev spaces, 01 natural sciences, 13. Climate action, 0103 physical sciences, Geometric measure theory, 14. Life underwater, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2207413
https://doi.org/10.1016/j.jfa.2005.02.013
https://www.sciencedirect.com/science/article/pii/S0022123605001205
https://www.sciencedirect.com/science/article/abs/pii/S0022123605001205

Filling area conjecture and ovalless real hyperelliptic surfaces

Autori: Bangert, Victor Croke, C. Ivanov, S. a ďalší

Zdroj: GAFA Geometric And Functional Analysis. 15:577-597

Predmety: Mathematics - Differential Geometry, hyperelliptic surface, Geometric measure and integration theory, integral and normal currents in optimization, ovalless real surfaces, filling area, Geometric Topology (math.GT), Metric Geometry (math.MG), 53C23, 01 natural sciences, Global Riemannian geometry, including pinching, Mathematics - Geometric Topology, 57N65, Mathematics - Metric Geometry, Differential Geometry (math.DG), 52C07, 0103 physical sciences, FOS: Mathematics, 0101 mathematics

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/pdf/math/0405583
http://arxiv.org/abs/math/0405583
https://zbmath.org/2228653
https://doi.org/10.1007/s00039-005-0517-8
https://core.ac.uk/display/21971023
https://link.springer.com/article/10.1007%2Fs00039-005-0517-8

Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds: Minimal Riesz energy point configurations for rectifiable \(d\)-dimensional manifolds

Autori: Douglas P. Hardin Edward B. Saff

Zdroj: Advances in Mathematics. 193:174-204

Predmety: Length, area, volume, other geometric measure theory, Uniform distribution of points on a sphere, Geometric measure and integration theory, integral and normal currents in optimization, Multidimensional problems, Minimal discrete Riesz energy, FOS: Physical sciences, Metric Geometry (math.MG), Mathematical Physics (math-ph), 11K41, 70F10, 28A78, 78A30, 52A40, 01 natural sciences, Hausdorff measure, Rectifiable manifolds, Hausdorff and packing measures, Mathematics - Metric Geometry, Power law potential, General Mathematics (math.GM), Inequalities and extremum problems involving convexity in convex geometry, FOS: Mathematics, Well-distributed sequences and other variations, 0101 mathematics, Best-packing, Mathematics - General Mathematics, Mathematical Physics

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/math-ph/0311024
https://www.sciencedirect.com/science/article/pii/S0001870804001537
https://dialnet.unirioja.es/servlet/articulo?codigo=1116025
http://ui.adsabs.harvard.edu/abs/2003math.ph..11024H/abstract

Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow

Autori: François Alter Vicent Caselles Antonin Chambolle

Zdroj: Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications. 7:29-53

Predmety: convex set, Geometric measure and integration theory, integral and normal currents in optimization, Existence theories for optimal control problems involving partial differential equations, Analyse, Degenerate parabolic equations, 01 natural sciences, total variation flow, denoising, Nonlinear parabolic equations, BV functions, Optimality conditions for problems involving partial differential equations, 0101 mathematics

Popis súboru: application/xml; application/octet-stream

Prístupová URL adresa: http://www.ems-ph.org/journals/show_pdf.php?issn=1463-9963&vol=7&iss=1&rank=2
https://basepub.dauphine.fr/handle/123456789/6562
https://www.ems-ph.org/doi/10.4171/IFB/112
https://www.ems-ph.org/journals/show_pdf.php?issn=1463-9963&vol=7&iss=1&rank=2

Variational convergence for functionals of Ginzburg-Landau type

Autori: G. Alberti BALDO, Sisto ORLANDI, Giandomenico

Zdroj: Indiana University Mathematics Journal. 54:1411-1472

Predmety: Systems of elliptic equations, general, integral currents, Methods involving semicontinuity and convergence, relaxation, Asymptotic behavior of solutions to PDEs, Jacobians, flat convergence and compactness, Ginzburg-Landau functional, Geometric measure and integration theory, integral and normal currents in optimization, minimal surfaces, 01 natural sciences, Ginzburg-Landau functionals, Gamma convergence, Plateau's problem, Variational problems in a geometric measure-theoretic setting, distributional Jacobian, Gamma-convergence, asymptotic behavior, 0101 mathematics

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: https://arpi.unipi.it/bitstream/11568/92589/1/Variational%20convergence
https://core.ac.uk/display/54895593
http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=2601&year=2005&volume=54
https://cvgmt.sns.it/media/doc/paper/1333/abo2.pdf
https://iris.univr.it/handle/11562/18355
https://hdl.handle.net/11562/18355
https://hdl.handle.net/11568/92589
https://doi.org/10.1512/iumj.2005.54.2601

Approximation by Γ-convergence of a curvature-depending functional in visual reconstruction: Approximation by \(\Gamma\)-convergence of a curvature-depending functional in visual reconstruction

Autori: BRAIDES, ANDREA March, R. Braides, A a ďalší

Prispievatelia: BRAIDES, ANDREA March, R. Braides, A a ďalší

Zdroj: Communications on pure and applied mathematics
59 (2006): 71–121. doi:10.1002/cpa.20103
info:cnr-pdr/source/autori:Braides A., March R./titolo:Approximation by Gamma-convergence of a curvature-depending functional in visual reconstruction/doi:10.1002%2Fcpa.20103/rivista:Communications on pure and applied mathematics (Print)/anno:2006/pagina_da:71/pagina_a:121/intervallo_pagine:71–121/volume:59

Predmety: VARIATIONAL-PROBLEMS, IMAGE SEGMENTATION, BOUNDED VARIATION, DISCONTINUITIES, THEOREM, EXISTENCE, RECOVERY, ELASTICA, Methods involving semicontinuity and convergence, relaxation, curvature-depending energies, Geometric measure and integration theory, integral and normal currents in optimization, Computing methodologies for image processing, 01 natural sciences, Settore MAT/05 - ANALISI MATEMATICA, Variational problems in a geometric measure-theoretic setting, 0101 mathematics, \(\Gamma\)-convergence, image segmentation

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2245314
https://doi.org/10.1002/cpa.20103
https://onlinelibrary.wiley.com/doi/10.1002/cpa.20103
https://art.torvergata.it/handle/2108/35535
https://hdl.handle.net/20.500.11767/139554
https://doi.org/10.1002/cpa.20103

Divergence-Measure Fields, Sets of Finite Perimeter, and Conservation Laws: Divergence-measure fields, sets of finite perimeter, and conservation laws

Autori: Chen, G Torres, M

Zdroj: Archive for Rational Mechanics and Analysis. 175:245-267

Predmety: Length, area, volume, other geometric measure theory, Hyperbolic conservation laws, divergence-measure fields, Geometric measure and integration theory, integral and normal currents in optimization, normal traces, sets of finite perimeter, Initial-boundary value problems for first-order hyperbolic systems, initial-boundary-value problem, conservation laws, 0101 mathematics, 01 natural sciences, Gauss-Green formula

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2155992
https://doi.org/10.1007/s00205-004-0346-1
http://ui.adsabs.harvard.edu/abs/2005ArRMA.175..245C/abstract
https://rd.springer.com/article/10.1007/s00205-004-0346-1
https://link.springer.com/10.1007/s00205-004-0346-1
https://link.springer.com/article/10.1007%2Fs00205-004-0346-1
https://dialnet.unirioja.es/servlet/articulo?codigo=1106865
https://www.math.purdue.edu/~torres/pubs/Divergence-measure-fields-laws.pdf
https://ora.ox.ac.uk/objects/uuid:988f8ff2-4252-42af-978a-20652ee9df7e
https://doi.org/10.1007/s00205-004-0346-1

Strict convergence and minimal liftings in BV

Autori: N. Jung Robert L. Jerrard

Zdroj: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 134:1163-1176

Predmety: Geometric measure and integration theory, integral and normal currents in optimization, Variational problems in a geometric measure-theoretic setting, minimal lifting, BV-functions and maps, 0101 mathematics, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/strict-convergence-and-minimal-liftings-in-bv/82DBFBA4CB8196B4A2BFA77AC407CF58

A lower‐epiperimetric inequality for area‐minimizing surfaces: A lower-epiperimetric inequality for area-minimizing surfaces

Autori: Tristan Rivière

Zdroj: Communications on Pure and Applied Mathematics. 57:1673-1685

Predmety: integral currents, splitting before tilting, 0103 physical sciences, Minimal surfaces and optimization, Geometric measure and integration theory, integral and normal currents in optimization, area-minimizing integral \(k\)-cycle, lower-epiperimetric inequality, 0101 mathematics, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://onlinelibrary.wiley.com/doi/abs/10.1002/cpa.20047
https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.20047

Note on coarea formulae in the Heisenberg group

Autori: MAGNANI, VALENTINO

Zdroj: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Publicacions Matemàtiques; Vol. 48, Núm. 2 (2004); p. 409-422

Predmety: Length, area, volume, other geometric measure theory, Analysis on real and complex Lie groups, coarea formula, Nilpotent and solvable Lie groups, Geometric measure and integration theory, integral and normal currents in optimization, Carnot-Carathéodory space, Coarea formula, sub-Riemannian distance, Heisenberg group

Popis súboru: application/pdf; application/xml

Prístupová URL adresa: https://ddd.uab.cat/pub/pubmat/02141493v48n2/02141493v48n2p409.pdf
https://ddd.uab.cat/record/2040
http://hdl.handle.net/2072/380052
https://zbmath.org/2145403
https://doi.org/10.5565/publmat_48204_07
http://www.dm.unipi.it/~magnani/works/Coah2.pdf
https://ddd.uab.cat/record/2040?ln=en
https://cvgmt.sns.it/media/doc/paper/1729/Coah2.pdf
https://ddd.uab.cat/pub/pubmat/02141493v48n2/02141493v48n2p409.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1282351
https://hdl.handle.net/11568/83268
http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_48204_07