Semiclassical states for critical Choquard equations with critical frequency
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Publication:2236469
DOI10.12775/TMNA.2020.001zbMath1479.35405OpenAlexW3130064174MaRDI QIDQ2236469
Publication date: 25 October 2021
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.12775/tmna.2020.001
Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61) Singular elliptic equations (35J75)
Related Items (3)
Ground states solutions for a modified fractional Schrödinger equation with a generalized Choquard nonlinearity ⋮ Multiplicity of concentrating solutions for Choquard equation with critical growth ⋮ Semiclassical solutions for a critical Choquard-Poisson system with competitive potentials
Cites Work
- Unnamed Item
- Unnamed Item
- Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)
- Multiple solutions to a magnetic nonlinear Choquard equation
- Semi-classical states for the Choquard equation
- Multi-peak solutions for nonlinear Choquard equation with a general nonlinearity
- A guide to the Choquard equation
- On a periodic Schrödinger equation with nonlocal superlinear part
- On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
- Existence of semiclassical ground state solutions for a generalized Choquard equation
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- Semiclassical states of nonlinear Schrödinger equations
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Standing waves with a critical frequency 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
- Nonlinear Choquard equations: doubly critical case
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents
- Local mountain passes for semilinear elliptic problems in unbounded domains
- On gravity's role in quantum state reduction
- Minimax theorems
- Existence of solutions for singularly perturbed Schrödinger equations with nonlocal part
- Singularly perturbed critical Choquard equations
- Infinitely many solutions for a class of critical Choquard equation with zero mass
- Standing wave solutions of the nonlinear Schrödinger equation in \(\mathbb R^N\)
- Standing waves with a critical frequency for nonlinear Choquard equations
- Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth
- Multi-bump solutions for Choquard equation with deepening potential well
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Solutions of perturbed Schrödinger equations with critical nonlinearity
- Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method
- Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
- Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
- Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
- Strongly interacting bumps for the Schrödinger–Newton equations
- Semi-Classical Bound States for Schrödinger Equations with Potentials Vanishing or Unbounded at Infinity
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- A strongly indefinite Choquard equation with critical exponent due to the Hardy–Littlewood–Sobolev inequality
- On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
- Existence of solutions for critical Choquard equations via the concentration-compactness method
- Existence of groundstates for a class of nonlinear Choquard equations
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