Multiple positive solutions for semi‐linear elliptic systems involving sign‐changing weight

DOI10.1002/mma.3150zbMath1319.35034OpenAlexW2086801298MaRDI QIDQ5259838

Haining Fan, Xiaochun Liu

Publication date: 29 June 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3150

zbMATH Keywords

critical Sobolev exponentmultiple positive solutionssemi-linear elliptic systemLjusternik-Schnirelmann category

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

Related Items (6)

Multiple positive solutions for semi-linear elliptic systems involving sign-changing weight on manifolds with conical singularities ⋮ Existence of ground state solutions for Kirchhoff-type problem with variable potential ⋮ Positive solutions for a Kirchhoff-type problem involving multiple competitive potentials and critical Sobolev exponent ⋮ Fractional Schrödinger equations with logarithmic and critical nonlinearities ⋮ Multiple positive solutions for an elliptic problem involving a critical Sobolev exponent ⋮ Multiple positive solutions for a class of Kirchhoff type problems involving critical Sobolev exponents

Cites Work

• The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent
• Multiple positive solutions for semilinear elliptic systems
• Multiplicity of positive solutions for a critical quasilinear elliptic system with concave and convex nonlinearities
• Multiple positive solutions for a critical quasilinear elliptic system
• Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities
• Existence of coupled quasi-solutions of systems of nonlinear reaction- diffusion equations
• On a system of reaction--diffusion equations describing a population with two age groups
• The existence of positive solution of elliptic system by a linking theorem on product space.
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
• Multiple positive solutions for semi-linear elliptic systems with sign-changing weight
• The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions
• The Nehari manifold for systems of nonlinear elliptic equations
• Multiple positive solutions for a critical elliptic system with concave and convex nonlinearities
• Necessary and sufficient condition for the existence of positive solutions of certain cooperative system
• Existence of positive solution for a third-order three-point BVP with sign-changing Green's function

This page was built for publication: Multiple positive solutions for semi‐linear elliptic systems involving sign‐changing weight