Fractional Hardy-Sobolev elliptic problems

DOI10.12775/TMNA.2019.075zbMath1437.35376arXiv1503.00216OpenAlexW3010245671MaRDI QIDQ2179281

Jian Yu, Jianfu Yang

Publication date: 12 May 2020

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

Full work available at URL: https://arxiv.org/abs/1503.00216

zbMATH Keywords

existence of solutionsfractional Laplaciancritical Hardy-Sobolev exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular elliptic equations (35J75) Fractional partial differential equations (35R11)

Related Items (5)

Multiplicity of positive solutions for a nonlocal elliptic problem involving critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ Existence of positive solutions to fractional elliptic problems with Hardy potential and critical growth ⋮ Nonlocal elliptic systems involving critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ Nonlocal problems with critical Hardy nonlinearity ⋮ On a fractional Hardy-Sobolev inequality with two-variables

Cites Work

• Unnamed Item
• Unnamed Item
• Minimizing problems for the Hardy-Sobolev type inequality with the singularity on the boundary
• On some critical problems for the fractional Laplacian operator
• Hitchhiker's guide to the fractional Sobolev spaces
• The Brezis-Nirenberg type problem involving the square root of the Laplacian
• Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality
• A Harnack inequality for fractional Laplace equations with lower order terms
• Positive solutions for some singular critical growth nonlinear elliptic equations
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Nonlinear ground state representations and sharp Hardy inequalities
• Sharp constants in the Hardy-Rellich inequalities
• Nonexistence results for a class of fractional elliptic boundary value problems
• Existence of solutions for elliptic problems with critical Sobolev-Hardy exponents
• Nonlocal problems with critical Hardy nonlinearity
• Best constants for Sobolev inequalities for higher order fractional derivatives
• Fractional Sobolev-Hardy inequality in \(\mathbb{R}^N\)
• Singular elliptic problems in \(\mathbb R^N\) with critical Sobolev-Hardy exponents
• On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
• A concave—convex elliptic problem involving the fractional Laplacian
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• An Extension Problem Related to the Fractional Laplacian
• Remarks on elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities
• Classification of solutions for an integral equation

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