Existence of ground state solutions for fractional Kirchhoff Choquard problems with critical Trudinger-Moser nonlinearity
type: Item
instance of: scholarly article
title: Existence of ground state solutions for fractional Kirchhoff Choquard problems with critical Trudinger-Moser nonlinearity
zbMATH Open document ID: 1499.35283
author: Shengbing Deng
author: Sihui Xiong
published in: Computational and Applied Mathematics
publication date: 2022-01-06T00:00:00Z
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7453283
zbMATH Keywords: fractional Kirchhoff type problem
zbMATH Keywords: Choquard equation
zbMATH Keywords: critical exponential growth
zbMATH Keywords: Trudinger-Moser nonlinearity
MaRDI profile type: Publication
full work available at URL: s40314-021-01730-0
OpenAlex ID: W4200178870
cites work: Existence of semiclassical ground state solutions for a generalized Choquard equation
cites work: Multiplicity and concentration of solutions for a quasilinear Choquard equation
cites work: Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)
cites work: Existence of solutions for a nonlinear Choquard equation with potential vanishing at infinity
cites work: Remarks about a fractional Choquard equation: ground state, regularity and polynomial decay
cites work: On fractional Choquard equations
cites work: On a class of nonhomogeneous fractional quasilinear equations in \(\mathbb R^n\) with exponential growth
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: On the variational principle
cites work: Kirchhoff-Hardy fractional problems with lack of compactness
cites work: \(p\)-fractional Kirchhoff equations involving critical nonlinearities
cites work: On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity
cites work: Analysis.
cites work: Fractional Adams-Moser-Trudinger type inequalities
cites work: Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
cites work: Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
cites work: Existence of groundstates for a class of nonlinear Choquard equations
cites work: A guide to the Choquard equation
cites work: On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces
cites work: Fractional \(p\)-Laplacian equations with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
cites work: Q5831956
cites work: Bifurcation results for problems with fractional Trudinger-Moser nonlinearity
cites work: Entire solutions for critical \(p\)-fractional Hardy Schrödinger Kirchhoff equations
cites work: Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
cites work: Ground states for nonlinear fractional Choquard equations with general nonlinearities
cites work: Existence of infinitely many solutions for degenerate \(p\)-fractional Kirchhoff equations with critical Sobolev-Hardy nonlinearities
cites work: On a degenerate \(p\)-fractional Kirchhoff equations involving critical Sobolev-Hardy nonlinearities
cites work: Q4569662
cites work: The existence of nontrivial solution for biharmonic equation with sign‐changing potential
cites work: Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity
cites work: Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
cites work: Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities
cites work: Nonlocal Schrödinger-Kirchhoff equations with external magnetic field
cites work: A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\)
cites work: Deforming a hypersurface by principal radii of curvature and support function
DOI: 10.1007/S40314-021-01730-0
description: scientific article; zbMATH DE number 7453283