On a class of mixed Choquard-Schrödinger-Poisson systems

DOI10.3934/dcdss.2019021zbMath1416.35105arXiv1609.03793OpenAlexW2962843038MaRDI QIDQ1734806

Gurpreet Singh, Marius Ghergu

Publication date: 27 March 2019

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03793

zbMATH Keywords

ground state solutionPohozaev identityChoquard equationSchrödinger-Poisson equation

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47)

Related Items

Ground states for a fractional Schrödinger–Poisson system involving Hardy potentials, Semiclassical states for Schrödinger-Poisson system with Hartree-type nonlinearity, Semiclassical solutions for a critical Choquard-Poisson system with competitive potentials, Ground states for nonlinear fractional Schrödinger–Poisson systems with general convolution nonlinearities, Existence of solutions for supercritical \((p, 2)\)-Laplace equations, Ground state solutions for a class of Schrödinger-Poisson systems with Hartree-type nonlinearity, Ground state and bounded state solution for the nonlinear fractional Choquard-Schrödinger-Poisson system, Ground state solutions for a class of fractional Schrödinger-Poisson system with critical growth and vanishing potentials, Quasilinear elliptic inequalities with Hardy potential and nonlocal terms, Normalized solutions for Schrödinger-Poisson equations with general nonlinearities, Singular quasilinear critical Schrödinger equations in \(\mathbb{R}^N\), On symmetric solutions for \((p, q)\)-Laplacian equations in \(\mathbb{R}^N\) with critical terms

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