Existence of ground state solutions for fractional Kirchhoff Choquard problems with critical Trudinger-Moser nonlinearity

DOI10.1007/S40314-021-01730-0zbMath1499.35283OpenAlexW4200178870MaRDI QIDQ2065001

Sihui Xiong, Shengbing Deng

Publication date: 6 January 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01730-0

zbMATH Keywords

critical exponential growthChoquard equationTrudinger-Moser nonlinearityfractional Kirchhoff type problem

Mathematics Subject Classification ID

Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Unnamed Item
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• Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)
• Existence of solutions for a nonlinear Choquard equation with potential vanishing at infinity
• Hitchhiker's guide to the fractional Sobolev spaces
• Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
• On a class of nonhomogeneous fractional quasilinear equations in \(\mathbb R^n\) with exponential growth
• Fractional Adams-Moser-Trudinger type inequalities
• \(p\)-fractional Kirchhoff equations involving critical nonlinearities
• A guide to the Choquard equation
• Nonlocal Schrödinger-Kirchhoff equations with external magnetic field
• Existence of infinitely many solutions for degenerate \(p\)-fractional Kirchhoff equations with critical Sobolev-Hardy nonlinearities
• Existence of semiclassical ground state solutions for a generalized Choquard equation
• Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
• Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity
• Deforming a hypersurface by principal radii of curvature and support function
• Fractional \(p\)-Laplacian equations with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
• Remarks about a fractional Choquard equation: ground state, regularity and polynomial decay
• Bifurcation results for problems with fractional Trudinger-Moser nonlinearity
• Entire solutions for critical \(p\)-fractional Hardy Schrödinger Kirchhoff equations
• On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity
• On a degenerate \(p\)-fractional Kirchhoff equations involving critical Sobolev-Hardy nonlinearities
• On the variational principle
• Kirchhoff-Hardy fractional problems with lack of compactness
• A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\)
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
• Ground states for nonlinear fractional Choquard equations with general nonlinearities
• The existence of nontrivial solution for biharmonic equation with sign‐changing potential
• Multiplicity and concentration of solutions for a quasilinear Choquard equation
• On fractional Choquard equations
• Existence of groundstates for a class of nonlinear Choquard equations
• Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities
• On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces

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