Ground state solutions for a class of Choquard equations with potential vanishing at infinity
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Publication:1747074
DOI10.1016/j.jmaa.2018.03.060zbMath1392.35134OpenAlexW2795135786WikidataQ130058141 ScholiaQ130058141MaRDI QIDQ1747074
Publication date: 3 May 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.03.060
Nonlinear elliptic equations (35J60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items
Existence and concentration of solutions for Choquard equations with steep potential Well and doubly critical exponents ⋮ Existence of positive solutions for a critical fractional Kirchhoff equation with potential vanishing at infinity ⋮ Existence of solutions for a class of quasilinear Choquard equations with potential vanishing at infinity ⋮ Existence and concentration of ground state solutions for Choquard equations involving critical growth and steep potential well ⋮ Ground state solutions of Schrödinger-Poisson systems with variable potential and convolution nonlinearity ⋮ Ground state solutions for a class of Schrödinger-Poisson systems with Hartree-type nonlinearity ⋮ Ground state solutions for Choquard equations with Hardy-Littlewood-Sobolev upper critical growth and potential vanishing at infinity ⋮ Multiplicity and concentration behavior of positive solutions for a generalized quasilinear Choquard equation
Cites Work
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- Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
- Semi-classical states for the Choquard equation
- Ground state sign-changing solutions for a class of Schrödinger-Poisson type problems in \({\mathbb{R}^{3}}\)
- Stationary solutions of the Schrödinger-Newton model -- an ODE approach.
- Nonlinear scalar field equations. I: Existence of a ground state
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Classification of positive solitary solutions of the nonlinear Choquard equation
- A note on Schrödinger-Newton systems with decaying electric potential
- Existence of static solutions of the semilinear Maxwell equations
- Ground state solutions for some indefinite variational problems
- Improved results for Klein-Gordon-Maxwell systems with general nonlinearity
- Nehari type ground state solutions for asymptotically periodic Schrödinger-Poisson systems
- Local mountain passes for semilinear elliptic problems in unbounded domains
- On gravity's role in quantum state reduction
- Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
- Existence of ground state solutions for quasilinear Schrödinger equations with super-quadratic condition
- Existence of least energy positive, negative and nodal solutions for a class of \(p \& q\)-problems with potentials vanishing at infinity
- Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
- Existence and multiplicity of solutions for a generalized Choquard equation
- Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
- Non-Nehari manifold method for asymptotically periodic Schrödinger equations
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Uniqueness of positive solutions of the Choquard type equations
- Improved estimates and a limit case for the electrostatic Klein–Gordon–Maxwell system
- Existence of solutions with prescribed norm for semilinear elliptic equations
- On regular solutions of a nonlinear equation of Choquard's type
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- An analytical approach to the Schrödinger-Newton equations
- Spherically-symmetric solutions of the Schrödinger-Newton equations
- Existence of groundstates for a class of nonlinear Choquard equations