Perturbation results involving the 1-Laplace operator

DOI10.1515/ACV-2017-0006zbMath1428.49051arXiv1702.05321OpenAlexW2950155426MaRDI QIDQ2311871

Samuel Littig, Friedemann Schuricht

Publication date: 4 July 2019

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05321

zbMATH Keywords

perturbationnonsmooth critical point theoryeigenvalue problems1-Laplace operator

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Weak solutions to PDEs (35D30) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Variational methods for eigenvalues of operators (49R05)

Related Items (3)

Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities ⋮ Existence and concentration behavior of solutions to 1-Laplace equations on \(\mathbb{R}^N\) ⋮ Unnamed Item

Cites Work

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• DIRICHLET PROBLEMS FOR THE 1-LAPLACE OPERATOR, INCLUDING THE EIGENVALUE PROBLEM
• Existence of a sequence of eigensolutions for the 1-Laplace operator
• Optimization and nonsmooth analysis
• Nonsmooth critical point theory and applications

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