Existence of positive ground state solutions for Choquard systems

DOI10.1515/ans-2020-2099zbMath1465.35243OpenAlexW3044866815MaRDI QIDQ831007

Yinbin Deng, Wei Shuai, Qing-fei Jin

Publication date: 10 May 2021

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2020-2099

zbMATH Keywords

Choquard systemexistence of positive ground state solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Ground state solutions of Pohožaev type for Kirchhoff‐type problems with general convolution nonlinearity and variable potential

Cites Work

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• Existence of a nontrivial solution for a strongly indefinite periodic Choquard system
• On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
• Standing waves in the Maxwell-Schrödinger equation and an optimal configuration problem
• Classification of positive solitary solutions of the nonlinear Choquard equation
• On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
• On Schrödinger-Poisson systems
• Exact ground state energy of the strong-coupling polaron
• Elliptic partial differential equations of second order
• On some periodic Hartree-type models for crystals
• Multi-peak solutions to Kirchhoff equations in \(\mathbb{R}^3\) with general nonlinearity
• Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
• The Schrödinger–Poisson System with Positive Potential
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials
• The Choquard equation and related questions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• From atoms to crystals: a mathematical journey