Multiple positive solutions for semi-linear elliptic systems with sign-changing weight

DOI10.1016/j.jmaa.2013.07.014zbMath1310.35100OpenAlexW2039917528MaRDI QIDQ2258979

Haining Fan

Publication date: 27 February 2015

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.2013.07.014

zbMATH Keywords

critical Sobolev exponentmultiple positive solutionsNehari manifoldLusternik-Schnirelmann categorysemi-linear elliptic system

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) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Higher-order elliptic systems (35J48)

Related Items (11)

Multiple positive solutions for a quasilinear elliptic system with critical exponent and sign-changing weight ⋮ Unnamed Item ⋮ Ground and bound state solutions for quasilinear elliptic systems including singular nonlinearities and indefinite potentials ⋮ Positive solutions for a Kirchhoff-type problem involving multiple competitive potentials and critical Sobolev exponent ⋮ Multiplicity of positive solutions for a semilinear elliptic system with strongly coupled critical terms and concave nonlinearities ⋮ The Choquard equation with weighted terms and Sobolev-Hardy exponent ⋮ Multiple positive solutions for Kirchhoff-type problems in \({\mathbb{R}^3}\) involving critical Sobolev exponents ⋮ Positive solutions for a critical elliptic problem involving singular nonlinearity ⋮ The (p,q)-elliptic systems with concave-convex nonlinearities ⋮ Multiple positive solutions for semi‐linear elliptic systems involving sign‐changing weight ⋮ Multiple positive solutions for a class of Kirchhoff type problems involving critical Sobolev exponents

Cites Work

• Unnamed Item
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• Unnamed Item
• 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
• Multiplicity of solutions for homogeneous elliptic systems with critical growth
• Existence and multiplicity of positive solutions for semilinear elliptic systems with Sobolev critical exponents
• Multiple positive solutions for a critical quasilinear elliptic system
• Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• Minimax theorems
• Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
• The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions
• The Nehari manifold for systems of nonlinear elliptic equations

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