Ground state solutions of Nehari-Pohožaev type for a kind of nonlinear problem with general nonlinearity and nonlocal convolution term

DOI10.1186/s13661-019-1264-3OpenAlexW2974705351MaRDI QIDQ2108377

Shuai Yuan, Fang-Fang Liao

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1264-3

zbMATH Keywords

ground state solutionsSchrödinger-Poisson equationconvolution nonlinearityNehari-Pohožaev type

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: the radial case
• On the existence of a solution for elliptic system related to the Maxwell-Schrödinger equations
• Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• On the existence of solutions for the Schrödinger-Poisson equations
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Improved results for Klein-Gordon-Maxwell systems with general nonlinearity
• Infinitely many solutions and least energy solutions for Klein-Gordon-Maxwell systems with general superlinear nonlinearity
• Ground state solutions of Schrödinger-Poisson systems with variable potential and convolution nonlinearity
• Nehari type ground state solutions for asymptotically periodic Schrödinger-Poisson systems
• Minimax theorems
• Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity
• Ground state solutions for fractional Schrödinger equation with variable potential and Berestycki-Lions type nonlinearity
• Ground state solutions for a class of generalized quasilinear Schrödinger-Poisson systems
• Ground state solutions for asymptotically periodic Schrödinger-Poisson systems involving Hartree-type nonlinearities
• Ground state solutions of Nehari-Pohozaev type for the planar Schrödinger-Poisson system with general nonlinearity
• Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
• Berestycki-Lions conditions on ground state solutions for a nonlinear Schrödinger equation with variable potentials
• Existence and concentration of semiclassical ground state solutions for the generalized Chern-Simons-Schrödinger system in \(H^1(\mathbb{R}^2)\)
• Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
• Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Ground state solutions for generalized quasilinear Schrödinger equations with variable potentials and Berestycki-Lions nonlinearities
• Nonlinear Analysis - Theory and Methods
• A positive solution for a nonlinear Schroedinger equation on R^N
• Energy and pointwise bounds in some non-standard parabolic problems
• Existence of groundstates for a class of nonlinear Choquard equations
• On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation

This page was built for publication: Ground state solutions of Nehari-Pohožaev type for a kind of nonlinear problem with general nonlinearity and nonlocal convolution term