A perturbation theorem for the \(p\)-Laplace equation in unbounded domains

DOI10.1016/S0362-546X(01)00762-3zbMath1011.35052OpenAlexW2039538307MaRDI QIDQ1612575

Fei-Zhi Wang, Xian-Ling Fan

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00762-3

zbMATH Keywords

Sobolev space

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Perturbations in context of PDEs (35B20)

Related Items (1)

Existence and multiplicity of positive solutions to a class of quasilinear elliptic equations in \(\mathbb R^N\)

Cites Work

• The principle of symmetric criticality
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Quasilinear elliptic boundary-value problems on unbounded cylinders and a related mountain-pass lemma
• Minimax theorems
• A perturbation theorem for the equation −Δu + λu = uP in unbounded domains
• Existence and non-existence results for semilinear elliptic problems in unbounded domains
• On harnack type inequalities and their application to quasilinear elliptic equations
• Equivalent Norms for Sobolev Spaces

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