Weak perturbations of the \(p\)-Laplacian

DOI10.1007/s00526-014-0767-0zbMath1322.49076arXiv1312.5191OpenAlexW1984173604MaRDI QIDQ2349166

Hynek Kovařík, Rupert L. Frank, Tomas Ekholm

Publication date: 19 June 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5191

zbMATH Keywords

variational methods\(p\)-LaplacianSobolev inequalitiesweak couplinglowest eigenvalue asymptotics

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Methods involving semicontinuity and convergence; relaxation (49J45) Eigenvalue problems for linear operators (47A75) Variational methods for eigenvalues of operators (49R05) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Energy asymptotics in the three-dimensional Brezis-Nirenberg problem, On the \(p\)-Laplacian with Robin boundary conditions and boundary trace theorems, Extremal functions for Morrey's inequality in convex domains

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