Multiple positive solutions of nonhomogeneous elliptic systems involving critical Sobolev exponents

DOI10.1016/J.NA.2005.04.053zbMath1208.35046OpenAlexW2001732406MaRDI QIDQ2492409

Pigong Han

Publication date: 9 June 2006

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.2005.04.053

zbMATH Keywords

critical Sobolev exponentscritical pointsvariational methodsub-supersolutionsElliptic Systems

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Boundary value problems for second-order elliptic systems (35J57)

Related Items (14)

Effect of topology on the multiplicity of solutions for some semilinear elliptic systems with critical Sobolev exponent ⋮ Multiple positive solutions for a critical quasilinear elliptic system ⋮ Existence results for critical singular elliptic systems ⋮ Multiplicity of positive solutions for semilinear elliptic systems ⋮ Multiple positive solutions for semilinear elliptic systems involving subcritical nonlinearities in \(\mathbb R^ N\) ⋮ Multiple positive solutions for semilinear elliptic systems ⋮ Multiplicity of positive solutions for a semilinear elliptic system with strongly coupled critical terms and concave nonlinearities ⋮ Multiplicity of solutions for homogeneous elliptic systems with critical growth ⋮ Quasilinear elliptic system with coupling on nonhomogeneous critical term ⋮ Fractional elliptic systems with critical nonlinearities ⋮ Multiplicity result for a critical elliptic system with concave-convex nonlinearities ⋮ Symmetry of \(n\)-mode positive solutions for two-dimensional Hénon type systems ⋮ Existence and multiplicity of positive solutions for semilinear elliptic systems with Sobolev critical exponents ⋮ Solutions for quasilinear elliptic systems with vanishing potentials

Cites Work

• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• Two solutions for inhomogeneous nonlinear elliptic equations at critical growth
• On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents
• Dual variational methods in critical point theory and applications
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• A rellich type identity and applications
• Positive solutions to semilinear problems with coefficient that changes sign
• Nonnegative Solutions of the Radial Laplacian with Nonlinearity that Changes Sign

This page was built for publication: Multiple positive solutions of nonhomogeneous elliptic systems involving critical Sobolev exponents