Ground state solutions for a class of strongly indefinite Choquard equations
From MaRDI portal
Publication:2186292
DOI10.1007/s40840-019-00869-8zbMath1440.35126OpenAlexW2994345944WikidataQ126629395 ScholiaQ126629395MaRDI QIDQ2186292
Huxiao Luo, Claudianor Oliveira Alves, Min-Bo Yang
Publication date: 9 June 2020
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-019-00869-8
Variational principles in infinite-dimensional spaces (58E30) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)
Related Items (6)
Ground state solution for strongly indefinite Choquard system ⋮ Existence and concentration of ground-states for fractional Choquard equation with indefinite potential ⋮ Infinitely many solutions for the Brézis-Nirenberg problem with nonlinear Choquard equations ⋮ On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity ⋮ Unnamed Item ⋮ Localized nodal solutions for semiclassical Choquard equations
Cites Work
- Unnamed Item
- Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)
- Semiclassical limits of ground state solutions to Schrödinger systems
- Stationary solutions of the Schrödinger-Newton model -- an ODE approach.
- Existence of semiclassical ground state solutions for a generalized Choquard equation
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation
- Ground state solutions for some indefinite variational problems
- On a class of nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
- Ground state solutions of Pohožaev type and Nehari type for a class of nonlinear Choquard equations
- Ground state solution for a class of indefinite variational problems with critical growth
- On concentration of positive bound states of nonlinear Schrödinger equations
- Multiple interior peak solutions for some singularly perturbed Neumann problems.
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Generalized linking theorem with an application to a semilinear Schrödinger equation
- Existence and concentration phenomena for a class of indefinite variational problems with critical growth
- Pseudoindex theory and Nehari method for a fractional Choquard equation
- Multiplicity and concentration of solutions for Choquard equation via Nehari method and pseudo-index theory
- A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations
- Non-Nehari manifold method for asymptotically periodic Schrödinger equations
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- L'intégrale de Riemann-Liouville et le problème de Cauchy
- Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
- STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
- 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
- On a semilinear Schrödinger equation with periodic potential
- An analytical approach to the Schrödinger-Newton equations
- A strongly indefinite Choquard equation with critical exponent due to the Hardy–Littlewood–Sobolev inequality
- Spherically-symmetric solutions of the Schrödinger-Newton equations
- AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
This page was built for publication: Ground state solutions for a class of strongly indefinite Choquard equations
