Multiple positive solutions for Schrödinger-Poisson system in \(\mathbb{R}^{3}\) involving concave-convex nonlinearities with critical exponent

DOI10.3934/CPAA.2017076zbMath1364.35083OpenAlexW2619643307MaRDI QIDQ2357747

Chun-Lei Tang, Miaomiao Li

Publication date: 14 June 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2017076

zbMATH Keywords

mountain pass theoremcritical exponentEkeland's variational principleSchrödinger-Poisson systemconcentration compactness principle

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (9)

Multiplicity of solutions for Schrödinger-Poisson system with critical exponent in \(\mathbb{R}^3\) ⋮ Multiple solutions for the fractional Schrödinger–Poisson system with concave–convex nonlinearities ⋮ Existence and concentration of ground state solutions for a Schrödinger-Poisson-type system with steep potential well ⋮ Existence of solutions for a Schrödinger-Poisson system with critical nonlocal term and general nonlinearity ⋮ Unnamed Item ⋮ New multiple solutions for a Schrödinger–Poisson system involving concave-convex nonlinearities ⋮ Ground state solutions for asymptotically periodic modified Schrödinger-Poisson system involving critical exponent ⋮ Positive ground state solutions for Schrödinger-Poisson system involving a negative nonlocal term and critical exponent ⋮ Existence of positive ground state solutions of Schrödinger-Poisson system involving negative nonlocal term and critical exponent on bounded domain

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