MULTIPLICITY RESULT FOR CRITICAL P–LAPLACIAN SYSTEMS WITH SINGULAR POTENTIAL

DOI10.1142/S1793557111000022zbMath1211.35106MaRDI QIDQ3084661

Abdelaziz Ahammou, Khalid Iskafi

Publication date: 25 March 2011

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(p\)-Laplacian operatorvariational methodEkeland variational principlePalais-Smale sequencesMountain-Pass geometry

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

Positive solutions for nonvariational systems with asymptotically homogeneous operators ⋮ Infinitely many singular radial solutions for quasilinear elliptic systems ⋮ Schrödinger–Poisson system with potential of critical growth ⋮ Regular positive solutions to p-Laplacian systems on unbounded domain ⋮ Ground state solution for quasi-linear elliptic systems with general source terms on unbounded domain ⋮ Multiple waves with energy sign-changing for Schrödinger–Poisson system of critical potential

Cites Work

• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• A Note on an Equation with Critical Exponent

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