Existence of multiple solutions to Schrödinger-Poisson system in a nonlocal set up in \(\mathbb{R}^3\)
type: Item
instance of: scholarly article
title: Existence of multiple solutions to Schrödinger-Poisson system in a nonlocal set up in \(\mathbb{R}^3\)
zbMATH Open document ID: 1481.35376
author: Debajyoti Choudhuri
author: K. Saoudi
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2022-01-21T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35J48
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35J75
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 7461641
zbMATH Keywords: Berestycki-Lions-type condition
zbMATH Keywords: Ekeland's variational principle
zbMATH Keywords: mountain pass theorem
zbMATH Keywords: Pohožaev's identity
MaRDI profile type: Publication
full work available at URL: s00033-021-01649-w
OpenAlex ID: W4200423879
cites work: Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity
cites work: Ground state solutions for the nonlinear Schrödinger-Maxwell equations
cites work: On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
cites work: An eigenvalue problem for the Schrödinger-Maxwell equations
cites work: SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Multiple solutions for nonhomogeneous Schrödinger-Maxwell and Klein-Gordon-Maxwell equations on \(\mathbb R^3\)
cites work: Existence and Hölder regularity of infinitely many solutions to a \(p\)-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti-Rabinowitz (AR) condition
cites work: Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
cites work: Q4547972
cites work: Multiple solutions for nonhomogeneous Schrödinger-Poisson systems with the asymptotical nonlinearity in \(\mathbb{R}^3\)
cites work: On the variational principle
cites work: Q5225112
cites work: An existence result for singular nonlocal fractional Kirchhoff–Schrödinger–Poisson system
cites work: Existence of solutions with prescribed norm for semilinear elliptic equations
cites work: Multiple solutions for a nonhomogeneous Schrödinger-Maxwell system in \(\mathbb{R}^3\)
cites work: Multiple nontrivial solutions for a nonhomogeneous Schrödinger–Poisson system in ℝ 3
cites work: Q5118105
cites work: The Pohozaev identity for the fractional Laplacian
cites work: The Schrödinger-Poisson equation under the effect of a nonlinear local term
cites work: Multiple Solitary Waves For a Non-homogeneous Schrödinger–Maxwell System in ℝ3
cites work: Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
cites work: Existence of solution for a system involving a singular-nonlocal operator, a singularity and a Radon measure
cites work: Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
cites work: Ground state solutions for the non-linear fractional Schrödinger–Poisson system
cites work: MULTIPLE SOLUTIONS FOR A NONHOMOGENEOUS SCHRÖDINGER-POISSON SYSTEM WITH CONCAVE AND CONVEX NONLINEARITIES
cites work: Multiple solutions for nonhomogeneous Schrödinger-Poisson equations with sign-changing potential
cites work: Minimax theorems
cites work: Ground state solutions for an asymptotically 2-linear Schrödinger-Poisson system
cites work: Existence and asymptotic behavior of positive solutions to \(p(x)\)-Laplacian equations with singular nonlinearities
cites work: On the Schrödinger-Poisson equations with a general nonlinearity in the critical growth
DOI: 10.1007/S00033-021-01649-W
description: scientific article; zbMATH DE number 7461641