Suchergebnisse - 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

Autoren: Scala, Riccardo Scianna, Giuseppe

Weitere Verfasser: Scala, Riccardo Scianna, Giuseppe

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

Schlagwörter: 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

Dateibeschreibung: application/xml; application/pdf; ELETTRONICO

Zugangs-URL: 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

Autoren: Giovanni Bellettini Alaa Elshorbagy Riccardo Scala

Quelle: Journal of Functional Analysis. 289:110947

Schlagwörter: 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)

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: 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

Autoren: Marco Capolli Andrea Pinamonti Gareth Speight

Quelle: Communications in Contemporary Mathematics. 27

Schlagwörter: 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

Dateibeschreibung: application/xml

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

Minimal Measures and Minimizing Closed Normal One-currents: Minimal measures and minimizing closed normal one-currents

Autoren: Bangert, Victor

Quelle: Geometric And Functional Analysis. 9:413-427

Schlagwörter: stable norm, Variational problems in a geometric measure-theoretic setting, Geometric measure and integration theory, integral and normal currents in optimization, minimizing currents, 0101 mathematics, Global differential geometry, 01 natural sciences, Variational problems in applications to the theory of geodesics (problems in one independent variable)

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1346309
https://doi.org/10.1007/s000390050093
https://link.springer.com/article/10.1007/s000390050093

Intersection homology theory via rectifiable currents

Autoren: Qinglan Xia

Quelle: Calculus of Variations and Partial Differential Equations. 19:421-443

Schlagwörter: intersection homology, Stratifications, constructible sheaves, intersection cohomology (complex-analytic aspects), Geometric measure and integration theory, integral and normal currents in optimization, Variational problems in a geometric measure-theoretic setting, 0101 mathematics, 01 natural sciences, currents, Stratified sets

Dateibeschreibung: application/xml

Zugangs-URL: http://math.ucdavis.edu/~qlxia/Research/intersection.pdf
https://zbmath.org/2102288
https://doi.org/10.1007/s00526-003-0222-0
http://core.ac.uk/display/20920540
https://link.springer.com/article/10.1007/s00526-003-0222-0

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

Autoren: Nan Li Raquel Perales

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

EXISTENCE OF AREA MINIMIZING TANGENT CONES OF INTEGRAL CURRENTS WITH PRESCRIBED MEAN CURVATURE: Existence of area minimizing tangent cones of integral currents with prescribed mean curvature

Autoren: Fuchs Martin Duzaar Frank

Quelle: Acta Mathematica Scientia. 15:95-102

Schlagwörter: integral currents, area minimizing, 0103 physical sciences, Geometric measure and integration theory, integral and normal currents in optimization, Variational problems in a geometric measure-theoretic setting, existence of tangent cones, prescribed mean curvature, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/777795
https://www.sciencedirect.com/science/article/abs/pii/S0252960218300286

A Coarea Formula for Multiple Geometric Integrals: A coarea formula for multiple geometric integrals

Autoren: Kiêu, Kiên ProdInra, Migration Unité de biométrie et intelligence artificielle de Jouy (MIA-JOUY) et al.

Weitere Verfasser: Kiêu, Kiên ProdInra, Migration Unité de biométrie et intelligence artificielle de Jouy (MIA-JOUY) et al.

Quelle: Mathematische Nachrichten. 156:75-86

Schlagwörter: Measures and integrals in product spaces, [SDV] Life Sciences [q-bio], [SDV]Life Sciences [q-bio], Geometric measure and integration theory, integral and normal currents in optimization, formula of Blaschke- Petkantschin type, geometric measure decomposition, co-area formula, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://hal.inrae.fr/hal-02705505v1
http://onlinelibrary.wiley.com/doi/10.1002/mana.19921560106/abstract

Morse theory and Lyusternik-Shnirelman theory in geometric control theory: Morse theory and Lyusternik-Schnirelman theory in geometric control theory

Autoren: S. A. Vakhrameev

Quelle: Journal of Mathematical Sciences. 71:2434-2485

Schlagwörter: optimal control, 0209 industrial biotechnology, Morse-Smale systems, Geometric measure and integration theory, integral and normal currents in optimization, bibliography, survey, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, 02 engineering and technology, 0101 mathematics, Lyusternik-Schnirelman theory, 01 natural sciences, Morse index

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/558281
https://doi.org/10.1007/bf02111558
https://link.springer.com/article/10.1007/BF02111558
https://link.springer.com/content/pdf/10.1007/BF02111558.pdf

Stochastic currents

Autoren: FLANDOLI, FRANCO GUBINELLI, MASSIMILIANO GIAQUINTA M et al.

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Generalized unit normal bundles

Autoren: Delladio, Silvano

Quelle: Mathematische Zeitschrift. 236:223-249

Schlagwörter: Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), geometric variational problems, Methods involving semicontinuity and convergence, relaxation, Geometric measure and integration theory, integral and normal currents in optimization, generalized curvatures, semicontinuity, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, 01 natural sciences, Variational problems in a geometric measure-theoretic setting, Minimal surfaces and optimization, rectifiable currents, Generalizations of fiber spaces and bundles in algebraic topology, Integral geometry, 0101 mathematics, unit normal bundles, functionals involving surfaces and curvatures, generalized manifolds

Dateibeschreibung: application/xml

Zugangs-URL: https://documat.unirioja.es/servlet/articulo?codigo=2807022
https://link.springer.com/article/10.1007/PL00004830
https://dialnet.unirioja.es/servlet/articulo?codigo=2807022
https://hdl.handle.net/11572/73854

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

Autoren: Francois Ebobisse

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

Autoren: Chen, G Torres, M

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Some fine properties of currents and applications to distributional Jacobians

Autoren: De Lellis, C University of Zurich

Weitere Verfasser: De Lellis, C University of Zurich

Quelle: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 132:815-842

Schlagwörter: 10123 Institute of Mathematics, 510 Mathematics, Variational problems in a geometric measure-theoretic setting, Geometric measure and integration theory, integral and normal currents in optimization, geometric measure theory on metric spaces, rectifiability, Existence theories for free problems in two or more independent variables, 0101 mathematics, 01 natural sciences, currents, 2600 General Mathematics, special functions of bounded higher variation

Dateibeschreibung: application/xml; preprint2000_68.pdf - application/pdf

Zugangs-URL: https://www.zora.uzh.ch/id/eprint/21961/1/preprint2000_68.pdf
https://www.mis.mpg.de/preprints/2000/preprint2000_68.pdf
https://www.mis.mpg.de/publications/preprints/2000/prepr2000-68.html
http://www.journals.cambridge.org/abstract_S030821050000189X
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/some-fine-properties-of-currents-and-applications-to-distributional-jacobians/A74600FA56C3120797673ABAC13CE6E2
https://www.zora.uzh.ch/id/eprint/21961/1/preprint2000_68.pdf
https://www.zora.uzh.ch/id/eprint/21961/
https://www.zora.uzh.ch/id/eprint/21961/
https://doi.org/10.5167/uzh-21961

Continuity of the integral as a function of the domain

Autoren: Jenny Harrison

Quelle: Journal of Geometric Analysis. 8:769-795

Schlagwörter: Banach spaces, Currents in global analysis, Geometric measure and integration theory, integral and normal currents in optimization, Variational problems in a geometric measure-theoretic setting, 0101 mathematics, Integration on manifolds, measures on manifolds, geometric integration theory, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/BF02922670
https://link.springer.com/content/pdf/10.1007/BF02922670.pdf

Nearly flat almost monotone measures are big pieces of lipschitz graphs: Nearly flat almost monotone measures are big pieces of Lipschitz graphs

Autoren: Thierry De Pauw

Quelle: The Journal of Geometric Analysis. 12:29-61

Schlagwörter: Length, area, volume, other geometric measure theory, varifolds, regularity, Geometric measure and integration theory, integral and normal currents in optimization, rectifiable currents, 0101 mathematics, monotonicity, minimal sets, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://webusers.imj-prg.fr/~thierry.de-pauw/papiers/monotonic.lip.graph.pdf
https://link.springer.com/article/10.1007/BF02930859

Stiefel—Whitney currents: Stiefel-Whitney currents.

Autoren: John Zweck Reese Harvey

Quelle: Journal of Geometric Analysis. 8:809-844

Schlagwörter: Mathematics - Differential Geometry, Differential Geometry (math.DG), Currents in global analysis, Geometric measure and integration theory, integral and normal currents in optimization, FOS: Mathematics, Integral geometry, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/dg-ga/9609005v1.pdf
http://arxiv.org/abs/dg-ga/9609005
https://link.springer.com/10.1007/BF02922672
https://link.springer.com/article/10.1007/BF02922672

Integral and current representation of Federer's curvature measures

Autoren: Martina Zähle

Quelle: Archiv der Mathematik. 46:557-567

Schlagwörter: Length, area, volume, other geometric measure theory, curvature measures, sets of positive reach, principal curvatures, Geometric measure and integration theory, integral and normal currents in optimization, 01 natural sciences, normal bundle, Surfaces in Euclidean and related spaces, Currents in global analysis, Lipschitz-Killing curvatures, locally rectifiable currents, rectifiable currents, Integral geometry, set of positive reach, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3905321
https://zbmath.org/3964934
https://doi.org/10.1007/bf01195026
https://link.springer.com/article/10.1007/BF01195026

Local monotonicity of measures supported by graphs of convex functions

Autoren: Cerny, R.

Quelle: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Publicacions Matemàtiques; Vol. 48, Núm. 2 (2004); p. 369-380

Schlagwörter: Length, area, volume, other geometric measure theory, Monotone measure, monotonicity formula, Geometric measure and integration theory, integral and normal currents in optimization, monotone measure, Monotonicity formula, regularity of minimal surfaces, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: https://ddd.uab.cat/pub/pubmat/02141493v48n2/02141493v48n2p369.pdf
https://ddd.uab.cat/record/2037
http://hdl.handle.net/2072/380049
https://ddd.uab.cat/record/2037
https://dialnet.unirioja.es/servlet/articulo?codigo=1282344
https://ddd.uab.cat/pub/pubmat/02141493v48n2/02141493v48n2p369.pdf
http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_48204_04

Quantifying curvelike structures of measures by using L2 Jones quantities: Quantifying curvelike structures of measures by using \(L _{2}\) Jones quantities

Autoren: Gilad Lerman

Quelle: Communications on Pure and Applied Mathematics. 56:1294-1365

Schlagwörter: Length, area, volume, other geometric measure theory, curvelike structures, Hausdorff and packing measures, Information storage and retrieval of data, Capacity and harmonic measure in the complex plane, Geometric measure and integration theory, integral and normal currents in optimization, rectifiable curves, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, data sets, approximation, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1981627
https://doi.org/10.1002/cpa.10096
https://minnesota-staging.pure.elsevier.com/en/publications/quantifying-curvelike-structures-of-measures-by-using-lsub2sub-jo
https://experts.umn.edu/en/publications/quantifying-curvelike-structures-of-measures-by-using-lsub2sub-jo