On the existence of nontrivial solutions for \(p\)-harmonic equations on unbounded domains

DOI10.1016/J.NA.2007.11.024zbMath1159.35363OpenAlexW2171161053MaRDI QIDQ960231

Qi Gao, Lingyu Jin, Yinbin Deng

Publication date: 16 December 2008

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/j.na.2007.11.024

zbMATH Keywords

unbounded domainsnontrivial solutionsconcentration-compactness principle\(p\)-harmonic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Variational methods for higher-order elliptic equations (35J35)

Related Items (4)

Ground state solution to the biharmonic equation ⋮ Existence of positive ground solutions for biharmonic equations via Pohožaev-Nehari manifold ⋮ Ground state solution of the thin film epitaxy equation ⋮ Nontrivial solutions to the \(p\)-harmonic equation with nonlinearity asymptotic to \(|t|^{p-2}t\) at infinity

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Existence of solitary waves in higher dimensions
• On the existence of positive entire solutions of a semilinear elliptic equation
• Embedding Theorems and Quasi-Linear Elliptic Boundary Value Problems for Unbounded Domains

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