Nontrivial solutions for semilinear elliptic systems via Orlicz–Sobolev theory

DOI10.1080/17476933.2015.1106480zbMath1337.35036OpenAlexW1599321020MaRDI QIDQ2801985

Chao Ji, Fei Fang

Publication date: 22 April 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1106480

zbMATH Keywords

Orlicz-Sobolev spacesemilinear elliptic systemsconcentration-compactness principle

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Global regularity for divergence form elliptic equations in Orlicz spaces on quasiconvex domains
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Gradient estimates in Orlicz space for nonlinear elliptic equations
• On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems
• On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
• Orlicz-Sobolev versus Hölder local minimizer and multiplicity results for quasilinear elliptic equations
• An Orlicz-space approach to superlinear elliptic systems
• Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces
• Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• DEGENERATE COMPLEX MONGE–AMPÈRE EQUATIONS OVER COMPACT KÄHLER MANIFOLDS
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations

This page was built for publication: Nontrivial solutions for semilinear elliptic systems via Orlicz–Sobolev theory