On the existence of nontrivial solutions of quasi-asymptotically linear problem for the \(p\)-Laplacian.

DOI10.1007/s102550200062zbMath1108.35331OpenAlexW2077102271MaRDI QIDQ1566051

Zhi-Hui Chen, Yao-Tian Shen

Publication date: 27 May 2003

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s102550200062

zbMATH Keywords

critical pointPalais-Smale type conditionQuasi-asymptotically linear-weak solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Cites Work

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• Dual variational methods in critical point theory and applications
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Variational elliptic problems which are nonquadratic at infinity
• Existence results for perturbations of the p-Laplacian
• Asymptotically linear Dirichlet problem for the \(p\)-Laplacian

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