Weighted quasilinear eigenvalue problems in exterior domains

DOI10.1007/s00526-014-0773-2zbMath1333.35138OpenAlexW1995951213MaRDI QIDQ2349172

Sarath Sasi, T. V. Anoop, Pavel Drábek

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://doi.org/10.1007/s00526-014-0773-2

zbMATH Keywords

exterior domain\(p\)-Laplace operatorweighted eigenvalue problemexistence and asymptotic properties of positive eigenfunctions

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials ⋮ The Fredholm alternative for the \(p\)-Laplacian in exterior domains ⋮ Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions ⋮ Antimaximum principle in exterior domains ⋮ Admissible function spaces for weighted Sobolev inequalities ⋮ Compactness and existence results for the \(p\)-Laplace equation ⋮ Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials ⋮ Neumann eigenvalue problems on the exterior domains ⋮ On the eigenvalue problem involving the weighted \(p\)-Laplacian in radially symmetric domains ⋮ Extremal solutions of logistic-type equations in exterior domain in \(\mathbb{R}^2\) ⋮ The compactness and the concentration compactness via \(P\)-capacity ⋮ Extremal solutions of multi-valued variational inequalities in plane exterior domains ⋮ Radial quasilinear elliptic problems with singular or vanishing potentials ⋮ On the generalised Brézis-Nirenberg problem ⋮ On variational inequalities on exterior domains with multivalued convection terms

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