Semiclassical states of fractional Choquard equations with exponential critical growth
type: Item
instance of: scholarly article
title: Semiclassical states of fractional Choquard equations with exponential critical growth
zbMATH Open document ID: 1498.35601
author: Shuai Yuan
author: Jian Zhang
author: X. H. Tang
author: Limin Zhang
published in: The Journal of Geometric Analysis
publication date: 2022-10-04T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35J61
zbMATH DE Number: 7595989
zbMATH Keywords: fractional Choquard equation
zbMATH Keywords: semiclassical states
zbMATH Keywords: critical exponential growth
zbMATH Keywords: Trudinger-Moser inequality
MaRDI profile type: Publication
full work available at URL: s12220-022-01024-9
OpenAlex ID: W4297894281
Wikidata QID: Q115601542
cites work: On a periodic Schrödinger equation with nonlocal superlinear part
cites work: Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)
cites work: Multiplicity of Positive Solutions For a Quasilinear Problem in IRN Via Penalization Method
cites work: Concentration phenomena for fractional elliptic equations involving exponential critical growth
cites work: Multiplicity of solutions for a class of fractional elliptic problems with critical exponential growth and nonlocal Neumann condition
cites work: Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method
cites work: Multiplicity and concentration results for a fractional Choquard equation via penalization method
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: On the planar Schrödinger equation with indefinite linear part and critical growth nonlinearity
cites work: Ground states for a system of nonlinear Schrödinger equations with singular potentials
cites work: Nonstationary homoclinic orbit for an infinite-dimensional fractional reaction-diffusion system
cites work: Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
cites work: Existence of solutions for a fractional Choquard-type equation in \(\mathbb{R}\) with critical exponential growth
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Nonautonomous fractional problems with exponential growth
cites work: On the variational principle
cites work: Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
cites work: Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
cites work: On existence and concentration behavior of positive ground state solutions for a class of fractional Schrödinger-Choquard equations
cites work: Fractional elliptic equations with critical exponential nonlinearity
cites work: A fractional Moser-Trudinger type inequality in one dimension and its critical points.
cites work: Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
cites work: Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions
cites work: The Choquard equation and related questions
cites work: Classification of positive solitary solutions of the nonlinear Choquard equation
cites work: Strict definiteness of integrals via complete monotonicity of derivatives
cites work: Variational Methods for Nonlocal Fractional Problems
cites work: Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
cites work: Existence of groundstates for a class of nonlinear Choquard equations
cites work: A guide to the Choquard equation
cites work: A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
cites work: On critical cases of Sobolev's inequalities
cites work: Q5831956
cites work: Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations
cites work: On the planar Choquard equation with indefinite potential and critical exponential growth
cites work: Ground states for planar Hamiltonian elliptic systems with critical exponential growth
cites work: On a class of nonlinear Schrödinger equations
cites work: Multiplicity and concentration results for fractional Choquard equations: doubly critical case
cites work: Critical and subcritical fractional Trudinger-Moser-type inequalities on \(\mathbb{R}\)
cites work: Strongly interacting bumps for the Schrödinger–Newton equations
cites work: Minimax theorems
cites work: Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth
cites work: Anisotropic Choquard problems with Stein-Weiss potential: nonlinear patterns and stationary waves
cites work: Existence and concentration of ground-states for fractional Choquard equation with indefinite potential
cites work: Ground states and multiple solutions for Hamiltonian elliptic system with gradient term
cites work: Multiplicity and concentration of positive solutions for fractional unbalanced double-phase problems
cites work: Semiclassical states for coupled nonlinear Schrödinger system with competing potentials
cites work: Double phase problems with competing potentials: concentration and multiplication of ground states
DOI: 10.1007/S12220-022-01024-9
description: scientific article; zbMATH DE number 7595989