Critical Kirchhoff-Choquard system involving the fractional \(p\)-Laplacian operator and singular nonlinearities

DOI10.12775/TMNA.2020.070zbMath1483.35327OpenAlexW3198964941MaRDI QIDQ2075674

Yanbin Sang

Publication date: 15 February 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2020.070

zbMATH Keywords

\(p\)-Laplacian operatornegative exponentChoquard systemKirchhoff termupper critical exponentNehari manifold structure

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Critical fractional \(p\)-Laplacian system with negative exponents

Cites Work

• Existence and multiplicity results for fractional \(p\)-Kirchhoff equation with sign changing nonlinearities
• Nodal solutions for the Choquard equation
• Optimal decay of extremals for the fractional Sobolev inequality
• Critical nonlocal systems with concave-convex powers
• The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
• A guide to the Choquard equation
• An exact estimate result for a class of singular equations with critical exponents
• On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
• Mountain pass solutions for non-local elliptic operators
• Functional analysis, Sobolev spaces and partial differential equations
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity
• Sign changing solutions of \(p\)-fractional equations with concave-convex nonlinearities
• On doubly nonlocal \(p\)-fractional coupled elliptic system
• Fractional Choquard equation with critical nonlinearities
• Multiplicity and concentration results for a fractional Choquard equation via penalization method
• Multiplicity of solutions for a class of fractional Choquard-Kirchhoff equations involving critical nonlinearity
• A fractional Kirchhoff system with singular nonlinearities
• Bifurcation results for the critical Choquard problem involving fractional \(p\)-Laplacian operator
• Uniqueness and asymptotical behavior of solutions to a Choquard equation with singularity
• On the multiplicity and concentration of positive solutions for a \(p\)-fractional Choquard equation in \(\mathbb{R}^N\)
• Nehari manifold for fractional Kirchhoff systems with critical nonlinearity
• Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian
• The Nehari manifold for fractional Kirchhoff problems involving singular and critical terms
• Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity
• Infinitely many solutions for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity
• Multiple solutions for a fractional \(p\)-Kirchhoff problem with Hardy nonlinearity
• The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• A critical Kirchhoff type problem involving a nonlocal operator
• Bifurcation and multiplicity results for critical fractionalp-Laplacian problems
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• The minimizing problem involving $p$-Laplacian and Hardy–Littlewood–Sobolev upper critical exponent
• Spherically-symmetric solutions of the Schrödinger-Newton equations
• Critical Growth Elliptic Problems with Choquard Type Nonlinearity: A Survey
• On fractional Choquard equations
• Positive solutions for nonlinear Choquard equation with singular nonlinearity
• The Brezis-Nirenberg result for the fractional Laplacian
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item