Existence of non-trivial solution for a class of modified Schrödinger-Poisson equations via perturbation method

DOI10.1016/j.jmaa.2016.05.002zbMath1342.35331OpenAlexW2345877774MaRDI QIDQ294120

Ying Zhang, Xiaojing Feng

Publication date: 9 June 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.05.002

zbMATH Keywords

non-trivial solutionperturbation methodsmodified Schrödinger-Poisson

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electro- and magnetostatics (78A30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Existence and asymptotical behavior of positive solutions for the Schrödinger-Poisson system with double quasi-linear terms ⋮ Sign-changing solutions for modified Schrödinger–Poisson system with general nonlinearity ⋮ Existence of multiple solutions for modified Schrödinger-Kirchhoff-Poisson type systems via perturbation method with sign-changing potential ⋮ Sign-changing solutions for a modified quasilinear Kirchhoff–Schrödinger–Poisson system via perturbation method ⋮ On sign-changing solutions for quasilinear Schrödinger-Poisson system with critical growth ⋮ Ground state solutions for asymptotically periodic modified Schrödinger-Poisson system involving critical exponent ⋮ Quasilinear Schrödinger-Poisson equations involving a nonlocal term and an integral constraint ⋮ The existence of sign-changing solution for a class of quasilinear Schrödinger-Poisson systems via perturbation method

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