Suchergebnisse - "Variational principles in infinite-dimensional spaces"

On action ground states of defocusing nonlinear Schrödinger equations

Autoren: Wei Liu Chushan Wang Xiaofei Zhao

Quelle: Mathematical Models and Methods in Applied Sciences. 35:39-74

Schlagwörter: energy ground state, NLS equations (nonlinear Schrödinger equations), Asymptotic behavior of solutions to PDEs, action ground state, Numerical Analysis (math.NA), Variational principles in infinite-dimensional spaces, Computational methods for problems pertaining to quantum theory, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, rotation, numerical simulations, Mathematics - Analysis of PDEs, 35B38, 35Q55, 58E30, 81-08, asymptotics, Time-dependent Schrödinger equations and Dirac equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, defocusing nonlinear Schrödinger equation, Spectral, collocation and related methods for boundary value problems involving PDEs, Mathematics - Numerical Analysis, quantized vortices, Critical points of functionals in context of PDEs (e.g., energy functionals), Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2311.02890
https://zbmath.org/8005753
https://doi.org/10.1142/s0218202525500022

Force-Free Fields Are Conformally Geodesic: Force-free fields are conformally geodesic

Autoren: Albert Chern Oliver Gross

Quelle: SIAM Journal on Applied Algebra and Geometry. 8:1001-1022

Schlagwörter: Killing vector fields, Beltrami fields, FOS: Physical sciences, Conformal structures on manifolds, conformal metrics, Mathematical Physics (math-ph), Geodesics in global differential geometry, Variational principles in infinite-dimensional spaces, \(L^2\)-optimization, 53A30, 53C65, 53C12, 53C22, 58E30, 53C80, Differential Geometry (math.DG), FOS: Mathematics, force-free fields, Applications of global differential geometry to the sciences, \(L^1\)-optimization, Mathematical Physics, geodesics, Reeb vector fields, Differential Geometry

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2312.05252

Viscosity Solutions of a Class of Second Order Hamilton–Jacobi–Bellman Equations in the Wasserstein Space: Viscosity solutions of a class of second order Hamilton-Jacobi-Bellman equations in the Wasserstein space

Autoren: Hang Cheung Ho Man Tai Jinniao Qiu

Quelle: Applied Mathematics & Optimization. 91

Schlagwörter: PDEs in connection with control and optimization, viscosity solutions, 49L25, Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games, Probability (math.PR), Comparison principles in context of PDEs, Ekeland's variational principle, Variational principles in infinite-dimensional spaces, Viscosity solutions to PDEs, Wasserstein space, Bellman equation, Mathematics - Analysis of PDEs, Optimization and Control (math.OC), Linear programming, FOS: Mathematics, HJB equation, mean field type control, comparison theorem, Mathematics - Optimization and Control, Mathematics - Probability, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2312.10322
https://zbmath.org/7990768
https://doi.org/10.1007/s00245-025-10219-9

Multiple solutions with sign information for Robin equations with indefinite potential

Autoren: Nikolaos S. Papageorgiou Jian Zhang Wen Zhang

Quelle: Bulletin of Mathematical Sciences, Vol 15, Iss 01 (2025)

Schlagwörter: Hopf maximum principle, Variational methods for second-order elliptic equations, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Nonlinear elliptic equations, Robin boundary condition, Variational principles in infinite-dimensional spaces, 01 natural sciences, Topological and monotonicity methods applied to PDEs, Maximum principles in context of PDEs, Variational methods involving nonlinear operators, 0103 physical sciences, Indefinite potential, QA1-939, truncations, indefinite potential, constant sign and nodal solutions, 0101 mathematics, critical groups, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://doaj.org/article/8fa436ffbaaf4091908964118929a12e

Ground State Solutions for a Class of Strongly Indefinite Choquard Equations: Ground state solutions for a class of strongly indefinite Choquard equations

Autoren: Claudianor O. Alves Huxiao Luo Minbo Yang

Quelle: Bulletin of the Malaysian Mathematical Sciences Society. 43:3271-3304

Schlagwörter: Semilinear elliptic equations, variational methods, Existence problems for PDEs: global existence, local existence, non-existence, Variational methods for elliptic systems, 0101 mathematics, Choquard equation, Variational principles in infinite-dimensional spaces, existence of a ground state solution, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/s40840-019-00869-8

Nonlinear Schrödinger equation with growing potential on infinite metric graphs

Autoren: Alexander Pankov Setenay Akduman

Quelle: Nonlinear Analysis. 184:258-272

Schlagwörter: NLS equations (nonlinear Schrödinger equations), PDEs on graphs and networks (ramified or polygonal spaces), Variational inequalities, Exponential localization, Variational principles in infinite-dimensional spaces, 01 natural sciences, Generalized Nehari manifold, metric graph, bifurcation, Nonlinear Schrödinger equation, generalized Nehari manifold, Bifurcation, Metric graph, 0101 mathematics, nonlinear Schrödinger equation, exponential localization

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7081207
https://doi.org/10.1016/j.na.2019.02.020
https://www.sciencedirect.com/science/article/pii/S0362546X19300811

Ekeland-type variational principle with applications to nonconvex minimization and equilibrium problems

Autoren: Iram Iqbal Nawab Hussain

Quelle: Nonlinear Analysis, Vol 24, Iss 3 (2019)

Schlagwörter: Metric (unit), Economics, minimization problem, 0211 other engineering and technologies, 02 engineering and technology, Theory and Applications of Fractional Differential Equations, Mathematical analysis, 01 natural sciences, T-orbitally lower semicontinuous function, Fixed Point Theorems in Metric Spaces, FOS: Mathematics, Nonexpansive Mappings, Minimax, 0101 mathematics, Fixed-point theorem, Biology, variational principle, QA299.6-433, Variational principle, Ecology, Fixed-point and coincidence theorems (topological aspects), Minification, fixed points, Applied Mathematics, Mathematical optimization, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Variational inequalities, Applied mathematics, 16. Peace & justice, Variational principles in infinite-dimensional spaces, \(T\)-orbitally lower semicontinuous function, Completeness (order theory), Operations management, Computational Theory and Mathematics, FOS: Biological sciences, Physical Sciences, Computer Science, Geometry and Topology, Metric space, Fixed-point theorems on manifolds, Type (biology), Analysis, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://www.journals.vu.lt/nonlinear-analysis/article/download/12882/11726
https://zbmath.org/7086708
https://doi.org/10.15388/na.2019.3.6
https://doaj.org/article/ccf67564803547af876aa2e0cc47f6da
https://www.journals.vu.lt/nonlinear-analysis/article/view/12882
https://www.journals.vu.lt/nonlinear-analysis/article/download/12882/11726

Generalized Gerstewitz’s Functions and Vector Variational Principle for ϵ-Efficient Solutions in the Sense of Németh: Generalized Gerstewitz's functions and vector variational principle for \(\epsilon\)-efficient solutions in the sense of Németh

Autoren: Jing Hui Qiu

Quelle: Acta Mathematica Sinica, English Series. 35:297-320

Schlagwörter: Numerical optimization and variational techniques, Gerstewitz's function, Applications of functional analysis in optimization, convex analysis, mathematical programming, economics, partial order principle, \(\epsilon\)-efficient solutions in the sense of Németh, 0211 other engineering and technologies, Ekeland variational principle, 02 engineering and technology, Variational principles in infinite-dimensional spaces, convex cone, Set-valued and variational analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/s10114-018-7159-x
https://link.springer.com/content/pdf/10.1007/s10114-018-7159-x.pdf

Nonlinear Schrödinger Equations on Periodic Metric Graphs: Nonlinear Schrödinger equations on periodic metric graphs

Autoren: Pankov A.

Quelle: Discrete and Continuous Dynamical Systems-Series A

Schlagwörter: NLS equations (nonlinear Schrödinger equations), periodic approximation, PDEs on graphs and networks (ramified or polygonal spaces), Periodic nonlinear Schrödinger equation, Variational inequalities, Variational principles in infinite-dimensional spaces, periodic nonlinear Schrödinger equation, 01 natural sciences, Generalized Nehari manifold, metric graph, generalized Nehari manifold, Metric graph, 0101 mathematics, Periodic approximation

Dateibeschreibung: application/xml

Zugangs-URL: https://www.aimsciences.org/article/exportPdf?id=8bf4baec-7cbf-4958-8016-85c1a8d26b26
https://zbmath.org/6806964
https://doi.org/10.3934/dcds.2018030
https://openrepository.ru/article?id=257708
https://www.aimsciences.org/article/exportPdf?id=8bf4baec-7cbf-4958-8016-85c1a8d26b26
https://www.aimsciences.org/article/doi/10.3934/dcds.2018030

Pseudo-holomorphic curves and periodic orbits on cotangent bundles

Autoren: Cieliebak, Kai

Schlagwörter: ddc:510, symplectic manifold, Local and nonlocal bifurcation theory for dynamical systems, 0103 physical sciences, General geometric structures on manifolds (almost complex, almost product structures, etc.), periodic solutions, 0101 mathematics, Hamiltonian systems, 01 natural sciences, Variational principles in infinite-dimensional spaces

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/811443
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/90796
https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-907965
https://opus.bibliothek.uni-augsburg.de/opus4/files/90796/90796.pdf

A GENERALIZATION OF THE VANDERBAUWHEDE VARIATIONAL PRINCIPLE: A generalization of the Vanderbauwhede variational principle

Autoren: FILIPPOV V.M.

Quelle: Differential Equations

Schlagwörter: Variational methods applied to problems in fluid mechanics, Vanderbauwhede variational principle, nonlinear operator, inverse variational problems, Variational inequalities, Variational principles in infinite-dimensional spaces, B-potentiality

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/789801
https://openrepository.ru/article?id=260609

Discrete Lagrange problems with constraints valued in a Lie group

Autoren: Pablo M. Chacón Antonio Fernández Pedro L. García

Quelle: GREDOS. Repositorio Institucional de la Universidad de Salamanca
Universidad de Salamanca (USAL)

Schlagwörter: Mathematics - Differential Geometry, Discrete Lagrange problems, 2020 MSC. Primary: 58A20, 53A70, Secondary :57R15, 49N99, 53Z05, 58E30, constraints valued in a Lie group, field theory, Variational principles in infinite-dimensional spaces, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.), 01 natural sciences, Miscellaneous topics in calculus of variations and optimal control, cellular complexes, Applications of differential geometry to physics, Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems, Constraints valued in a Lie group, 1204 Geometría, discrete Lagrange problems, Cellular complexes, Differential Geometry (math.DG), Euler-Poincaré reduction in discrete, 0103 physical sciences, Euler-Poincaré reduction in discrete field theory, FOS: Mathematics, 0101 mathematics, Discrete differential geometry

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: http://arxiv.org/abs/2106.01995
http://hdl.handle.net/10366/160940
https://zbmath.org/7658448
https://doi.org/10.1016/j.difgeo.2022.101974
https://hdl.handle.net/10366/160940

Nonlinear Schrödinger operators with zero in the spectrum

Autoren: Martin Schechter

Quelle: Zeitschrift für angewandte Mathematik und Physik. 66:2125-2141

Schlagwörter: Variational methods involving nonlinear operators, NLS equations (nonlinear Schrödinger equations), critical point theory, semilinear differential equations, variational methods, saddle point theory, Nonlinear elliptic equations, Applications of functional analysis to differential and integral equations, 0101 mathematics, 16. Peace & justice, Variational principles in infinite-dimensional spaces, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/s00033-015-0511-4

Some remarks on a system of quasilinear elliptic equations

Autoren: BOCCARDO, Lucio D. De Figueiredo

Quelle: Djairo G. de Figueiredo-Selected Papers ISBN: 9783319028552

Schlagwörter: Variational methods for second-order elliptic equations, functional, Quasilinear elliptic equations, critical point, quasilinear elliptic equations, 0101 mathematics, Variational principles in infinite-dimensional spaces, 01 natural sciences, critical points, systems

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1836993
https://doi.org/10.1007/s00030-002-8130-0
https://rd.springer.com/chapter/10.1007/978-3-319-02856-9_33
https://link.springer.com/content/pdf/10.1007/s00030-002-8130-0.pdf
https://link.springer.com/chapter/10.1007/978-3-319-02856-9_33
https://core.ac.uk/display/54251651
https://hdl.handle.net/11573/10583
https://doi.org/10.1007/s00030-002-8130-0
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000177840000005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a

Vectorial Ekeland's Variational Principle with a W-Distance and its Equivalent Theorems: A vectorial Ekeland's variational principle with a \(w\)-distance and its equivalent theorems

Autoren: Qiu Jing-hui Li Bo He Fei

Quelle: Acta Mathematica Scientia. 32:2221-2236

Schlagwörter: General theory of locally convex spaces, Gerstewitz's function, 0211 other engineering and technologies, Ekeland's variational principle, Caristi's fixed point theorem, 02 engineering and technology, 0101 mathematics, w-distance, Variational principles in infinite-dimensional spaces, 01 natural sciences, Takahashi's minimization theorem, Set-valued and variational analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0252960212601726
http://www.sciencedirect.com/science/article/pii/S0252960212601726
http://121.43.60.238/sxwlxbB/CN/abstract/abstract12084.shtml

Periodic and subharmonic solutions for a class of non-autonomous Hamiltonian systems

Autoren: Chun-Lei Tang Zeng-Qi Ou Chun Li

Quelle: Nonlinear Analysis: Theory, Methods & Applications. 75:2262-2272

Schlagwörter: subharmonic solutions, local linking theorem, periodic solutions, Hamiltonian systems, 0101 mathematics, Periodic solutions to ordinary differential equations, Periodic, homoclinic and heteroclinic orbits, variational methods, degree-theoretic methods, Variational principles in infinite-dimensional spaces, generalized mountain pass theorem, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0362546X11007267

Homoclinic orbits of superlinear Hamiltonian systems

Autoren: Guanwei Chen Shiwang Ma

Quelle: Proceedings of the American Mathematical Society. 139:3973-3983

Schlagwörter: ground state solution, first-order Hamiltonian system, homoclinic orbit, concentration-compactness principle, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, 0101 mathematics, Periodic, homoclinic and heteroclinic orbits, variational methods, degree-theoretic methods, Variational principles in infinite-dimensional spaces, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/proc/2011-139-11/S0002-9939-2011-11185-7/S0002-9939-2011-11185-7.pdf
https://zbmath.org/5986734
https://doi.org/10.1090/s0002-9939-2011-11185-7
https://www.ams.org/journals/proc/2011-139-11/S0002-9939-2011-11185-7/home.html
https://dialnet.unirioja.es/servlet/articulo?codigo=3757029
https://www.ams.org/proc/2011-139-11/S0002-9939-2011-11185-7/S0002-9939-2011-11185-7.pdf

Surfaces of revolution in the Heisenberg group and the spectral generalization of the Willmore functional

Autoren: Iskander A. Taimanov Dmitry Berdinsky

Quelle: Siberian Mathematical Journal. 48:395-407

Schlagwörter: Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Mathematics - Differential Geometry, surface of revolution, Differential Geometry (math.DG), Nilpotent and solvable Lie groups, Spectral problems, spectral geometry, scattering theory on manifolds, isoperimetric problem, FOS: Mathematics, 0101 mathematics, Variational principles in infinite-dimensional spaces, Heisenberg group, Willmore functional, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/math/0609325v2.pdf
http://arxiv.org/abs/math/0609325
https://zbmath.org/5379373
https://documat.unirioja.es/servlet/articulo?codigo=2323426
https://ui.adsabs.harvard.edu/abs/2006math......9325B/abstract
https://link.springer.com/content/pdf/10.1007/s11202-007-0043-z.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=2323426
https://link.springer.com/article/10.1007%2Fs11202-007-0043-z

The Cohomology of Invariant Variational Bicomplexes: The cohomology of invariant variational bicomplexes

Autoren: Anderson, Ian M. Pohjanpelto, J. Springer

Weitere Verfasser: Anderson, Ian M. Pohjanpelto, J. Springer

Quelle: Geometric and Algebraic Structures in Differential Equations ISBN: 9789401065658

Schlagwörter: Lie algebra cohomology, group actions, invariant variational bicomplex, Invariance and symmetry properties for PDEs on manifolds, Inverse problems in optimal control, 0101 mathematics, 16. Peace & justice, Variational principles in infinite-dimensional spaces, inverse problem of calculus of variations, 01 natural sciences, Cohomology, Mathematics, 3. Good health

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/824519
https://doi.org/10.1007/bf00996103
https://works.bepress.com/ian_anderson/47/
https://digitalcommons.usu.edu/mathsci_facpub/33/
https://link.springer.com/chapter/10.1007/978-94-009-0179-7_2
https://link.springer.com/content/pdf/10.1007/BF00996103.pdf
https://rd.springer.com/chapter/10.1007/978-94-009-0179-7_2

Local completeness, drop theorem and Ekeland's variational principle

Autoren: Jing-Hui Qiu

Quelle: Journal of Mathematical Analysis and Applications. 311:23-39

Schlagwörter: Drop theorem, Local completeness, Applied Mathematics, locally convex space, local completeness, Ekeland's variational principle, Ekeland variational principle, Optimality conditions for problems in abstract spaces, Variational principles in infinite-dimensional spaces, 01 natural sciences, Variational methods involving nonlinear operators, Locally convex spaces, 0101 mathematics, Analysis, drop theorem

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S0022247X04010662
https://www.sciencedirect.com/science/article/pii/S0022247X04010662
http://ui.adsabs.harvard.edu/abs/2005JMAA..311...23Q/abstract
https://core.ac.uk/display/82425486