Existence results for non-local elliptic systems with Hardy-Littlewood-Sobolev critical nonlinearities

zbMath1418.35373arXiv1810.08892MaRDI QIDQ5227641

Xudong Shang, Qianyu Hong, Yingchen Yang

Publication date: 7 August 2019

Full work available at URL: https://arxiv.org/abs/1810.08892

zbMATH Keywords

mountain pass theoremfractional LaplacianChoquard equationlinking theoremHardy-Littlewood-Sobolev critical exponent

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (1)

On critical fractional systems with Hardy-Littlewood-Sobolev nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
• A critical fractional Laplace equation in the resonant case
• Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• A note on problems involving critical Sobolev exponents
• Multiplicity of positive solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\) with critical Sobolev exponent
• Quasilinear Dirichlet problems in \(\mathbb R^N\) with critical growth.
• Existence results for non-local elliptic systems with nonlinearities interacting with the spectrum
• Fractional Choquard equation with critical nonlinearities
• Critical Brezis-Nirenberg problem for nonlocal systems
• Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
• Minimax theorems
• Variational methods for non-local operators of elliptic type
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• Singularly perturbed critical Choquard equations
• Bifurcation results for the critical Choquard problem involving fractional \(p\)-Laplacian operator
• Existence results for a doubly nonlocal equation
• Bifurcation and multiplicity results for critical fractionalp-Laplacian problems
• The Yamabe equation in a non-local setting
• On the spectrum of two different fractional operators
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Solutions of elliptic equations with critical Sobolev exponent in dimension three
• A multiplicity result for quasilinear elliptic equations involving critical sobolev exponents
• On fractional Choquard equations
• The Brezis-Nirenberg result for the fractional Laplacian

This page was built for publication: Existence results for non-local elliptic systems with Hardy-Littlewood-Sobolev critical nonlinearities