Existence of multiple positive solutions for Choquard equation with perturbation
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Publication:277660
DOI10.1155/2015/760157zbMath1375.35220OpenAlexW1955774229WikidataQ59102548 ScholiaQ59102548MaRDI QIDQ277660
Publication date: 2 May 2016
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/760157
NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Integro-partial differential equations (35R09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items
On doubly nonlocal \(p\)-fractional coupled elliptic system, Asymptotic analysis of multiple solutions for perturbed Choquard equations, Multiple positive solutions for a coupled nonlinear Hartree type equations with perturbations, A guide to the Choquard equation, Critical Growth Elliptic Problems with Choquard Type Nonlinearity: A Survey, Existence of a positive solution for a class of Choquard equation with upper critical exponent
Cites Work
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- Existence of multiple solutions to a class of nonlinear Schrödinger system with external sources terms
- Semi-classical states for the Choquard equation
- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- On a periodic Schrödinger equation with nonlocal superlinear part
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
- On nonhomogeneous elliptic equations involving critical Sobolev exponent
- Minimax theorems
- Intertwining semiclassical solutions to a Schrödinger-Newton system
- Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
- Positive and sign changing solutions to a nonlinear Choquard equation
- Semiclassical analysis for pseudo-relativistic Hartree equations
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- L'intégrale de Riemann-Liouville et le problème de Cauchy
- Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
- Strongly interacting bumps for the Schrödinger–Newton equations
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
- Spherically-symmetric solutions of the Schrödinger-Newton equations
- Existence and multiplicity results for some superlinear elliptic problems on RN
- Ground states for the pseudo-relativistic Hartree equation with external potential
- Existence of groundstates for a class of nonlinear Choquard equations
- Methods in Nonlinear Analysis
