A concentration-compactness principle at infinity and positive solutions of some quasilinear elliptic equations in unbounded domains

DOI10.1016/j.jmaa.2004.09.006zbMath1134.35340OpenAlexW2016019029MaRDI QIDQ1772283

Yongqing Li, Daiwen Huang

Publication date: 18 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.09.006

zbMATH Keywords

Quasilinear elliptic equationsUnbounded domainConcentration-compactness principleConstrained minimization problems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Existence and multiplicity results for quasilinear elliptic exterior problems with nonlinear boundary conditions ⋮ Multiple positive solutions of quasilinear elliptic equations in \(\mathbb{R}^n\) ⋮ Existence and multiplicity results for singular quasilinear elliptic equation on unbounded domain ⋮ Existence and stability of steady waves for the Hasegawa-Mima equation

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Existence of solutions of semilinear elliptic problems on unbounded domains
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• Positive solutions of \( -\Delta_{p} u + u^{p-1} - q(x) u^{\alpha} =0\) in \(\mathbb R^{N}\)
• A concentration-compactness lemma with applications to singular eigenvalue problems
• On the existence of positive entire solutions of a semilinear elliptic equation
• Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents
• A strong maximum principle for some quasilinear elliptic equations
• Eigenvalue problems for quasilinear elliptic equations on R^N
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Nonlinear p-Laplacian Problems on Unbounded Domains
• Variational and topological methods for Dirichlet problems with \(p\)-Laplacian

This page was built for publication: A concentration-compactness principle at infinity and positive solutions of some quasilinear elliptic equations in unbounded domains