Existence of a sequence of eigensolutions for the 1-Laplace operator

DOI10.1112/jlms/jdq012zbMath1197.35186OpenAlexW2110718247MaRDI QIDQ3580045

Friedemann Schuricht, Zoja Milbers

Publication date: 11 August 2010

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://dialnet.unirioja.es/servlet/oaiart?codigo=3265129

zbMATH Keywords

eigenvalue problemLaplace operatorcritical points

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Variational methods for eigenvalues of operators (49R05) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (max. 100)

\(p\)-Laplace operators for oriented hypergraphs ⋮ Convergence of the eigenvalues of the \(p\)-Laplace operator as \(p\) goes to 1 ⋮ Existence of bounded variation solutions for a 1-Laplacian problem with vanishing potentials ⋮ Necessary condition for eigensolutions of the 1-Laplace operator by means of inner variations ⋮ The convective eigenvalues of the one-dimensional \(p\)-Laplacian as \(p\rightarrow 1\) ⋮ Unnamed Item ⋮ The limit as $p\to 1$ of the higher eigenvalues of the $p$-Laplacian operator $\Delta_p$ ⋮ Perturbation results involving the 1-Laplace operator ⋮ Linking solutions for quasilinear equations at critical growth involving the ``1-Laplace operator ⋮ First eigenfunctions of the 1-Laplacian are viscosity solutions

This page was built for publication: Existence of a sequence of eigensolutions for the 1-Laplace operator