Positive ground states for asymptotically periodic Schrödinger–Poisson systems

DOI10.1002/MMA.2604zbMath1271.35022OpenAlexW2032682063MaRDI QIDQ4919627

Hui Zhang, Fubao Zhang, Junxiang Xu

Publication date: 14 May 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2604

zbMATH Keywords

ground statevariational methodNehari manifoldasymptotically periodic Schrödinger-Poisson system

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (10)

Quasilinear asymptotically periodic Schrödinger-Poisson system with subcritical growth ⋮ Multiple solutions for a quasilinear Schrödinger-Poisson system ⋮ Ground state solution for the Schrödinger equation with Hardy potential and critical Sobolev exponent ⋮ Positive solutions of an asymptotically periodic Schrödinger-Poisson system with critical exponent ⋮ Existence of ground state solutions for asymptotically linear Schrödinger-Poisson systems ⋮ Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth ⋮ Existence and asymptotic behavior of solutions for nonlinear Schrödinger-Poisson systems with steep potential well ⋮ Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency ⋮ Existence of solutions for Schrödinger-Poisson system with asymptotically periodic terms ⋮ On a class of semilinear Schrödinger equations with indefinite linear part

Cites Work

• Unnamed Item
• Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
• Ground states for Schrödinger-Poisson type systems
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• On Schrödinger-Poisson systems
• 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
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Quasilinear asymptotically periodic Schrödinger equations with critical growth

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