Existence of three nontrivial solutions for elliptic systems with critical exponents and weights

DOI10.1016/J.NA.2007.09.040zbMath1158.35030OpenAlexW2037580699MaRDI QIDQ955660

Shan Ma, Xi-you Cheng

Publication date: 20 November 2008

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.2007.09.040

zbMATH Keywords

critical pointelliptic systemsproduct spacelinking theorem(\(P.S.)_c\) condition

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50)

Related Items (10)

Critical system involving fractional Laplacian ⋮ Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent ⋮ The Nehari manifold for fractional systems involving critical nonlinearities ⋮ On the existence of infinitely many solutions for nonlocal systems with critical exponents ⋮ Multiplicity of positive solutions for semilinear elliptic systems ⋮ Positive solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent ⋮ Multiple positive solutions for semilinear elliptic systems ⋮ Nontrivial solutions for a quasilinear elliptic system ⋮ Multiplicity result for a critical elliptic system with concave-convex nonlinearities ⋮ INFINITELY MANY SOLUTIONS FOR NONLOCAL SYSTEMS INVOLVING FRACTIONAL LAPLACIAN UNDER NONCOMPACT SETTINGS

Cites Work

• The existence of positive solution of elliptic system by a linking theorem on product space.
• Nonvariational elliptic systems
• Strongly indefinite systems with critical Sobolev exponents and weights.
• Minimax theorems
• Differential systems with strongly indefinite variational structure
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Strongly indefinite systems with critical Sobolev exponents
• Necessary and sufficient condition for the existence of positive solutions of certain cooperative system
• Uniqueness of solutions of nonlinear Dirichlet problems
• The existence of three nontrivial solutions of a class of elliptic systems

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