Schrödinger–Poisson system with potential of critical growth

DOI10.1142/S1793557116500868zbMath1352.35011OpenAlexW2320368547MaRDI QIDQ3181183

Khalid Iskafi, Abdessamad Hassani

Publication date: 22 December 2016

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

Full work available at URL: https://doi.org/10.1142/s1793557116500868

zbMATH Keywords

variational methodEkeland variational principleSchrödinger-Poisson systemmountain-pass geometrypalais-smale sequences

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Cites Work

• Unnamed Item
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• Ground states for Schrödinger-Poisson type systems
• Multiple positive solutions for a Schrödinger-Poisson-Slater system
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
• Positive solutions for Schrödinger-Poisson equations with a critical exponent
• An eigenvalue problem for the Schrödinger-Maxwell equations
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• MULTIPLICITY RESULT FOR CRITICAL P–LAPLACIAN SYSTEMS WITH SINGULAR POTENTIAL
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers, and stability

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