Existence of positive ground state solutions for the coupled Choquard system with potential
From MaRDI portal
Publication:6073234
DOI10.1002/mana.202100447zbMath1525.35104arXiv2305.18860MaRDI QIDQ6073234
Publication date: 17 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.18860
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nodal solutions for the Choquard equation
- Sharp threshold of global existence and instability of standing wave for the Schrödinger-Hartree equation with a harmonic potential
- A guide to the Choquard equation
- Choquard equations under confining external potentials
- Ground states for Schrödinger-Poisson type systems
- On a periodic Schrödinger equation with nonlocal superlinear part
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Blow up solutions for one class of system of Pekar-Choquard type nonlinear Schrödinger equation
- Ground states of linearly coupled systems of Choquard type
- On the critical cases of linearly coupled Choquard systems
- Existence and qualitative properties of solutions for Choquard equations with a local term
- Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent
- Minimax theorems
- Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
- Ground state sign-changing solutions for a class of subcritical Choquard equations with a critical pure power nonlinearity in \(\mathbb{R}^N\)
- Existence of solutions for a class of fractional coupled Choquard-type systems with potential vanishing at infinity
- Ground state solution for strongly indefinite Choquard system
- Existence and asymptotic behavior of vector solutions for linearly coupled Choquard-type systems
- Ground states of a class of gradient systems of Choquard type with general nonlinearity
- Positive and sign changing solutions to a nonlinear Choquard equation
- On nodal solutions of the nonlinear Choquard equation
- Existence and nonexistence of nodal solutions for Choquard type equations with perturbation
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Multiple nodal solutions of nonlinear Choquard equations
- Spherically-symmetric solutions of the Schrödinger-Newton equations
- Nodal solutions of a nonlocal Choquard equation in a bounded domain
- Existence of groundstates for a class of nonlinear Choquard equations
- Existence of Bound States for Schrödinger-Newton Type Systems