Existence and asymptotic behaviour of ground state solution for quasilinear Schrödinger-Poisson systems in \({\mathbb R}^3\)

DOI10.12775/TMNA.2016.004zbMath1367.35153OpenAlexW2419366912MaRDI QIDQ519285

Ling Ding, Yi-Jie Meng, Chang-Ling Zhuang, Lin Li

Publication date: 4 April 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2016.004

zbMATH Keywords

asymptotic behavior variational methods asymptotically linear ground state solution Schrödinger-Poisson system

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications of statistical mechanics to specific types of physical systems (82D99) Strong solutions to PDEs (35D35)

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Existence and asymptotical behavior of positive solutions for the Schrödinger-Poisson system with double quasi-linear terms ⋮ Quasilinear asymptotically periodic Schrödinger-Poisson system with subcritical growth ⋮ 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 ⋮ Quasilinear Schrödinger–Poisson system with exponential and logarithmic nonlinearities ⋮ Existence and asymptotic behaviour of the least energy solutions for a quasilinear Dirac-Poisson system ⋮ Solutions of a quasilinear Schrödinger-Poisson system with linearly bounded nonlinearities ⋮ Quasi-linear Schrödinger-Poisson system under an exponential critical nonlinearity: existence and asymptotic behaviour of solutions

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