The Poisson problem for the fractional Hardy operator: Distributional identities and singular solutions

DOI10.1090/tran/8443zbMath1473.35624arXiv2009.10957OpenAlexW3146739031MaRDI QIDQ3382257

Tobias Weth, Huyuan Chen

Publication date: 21 September 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10957

zbMATH Keywords

fundamental solutionfractional LaplacianHardy potential

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Singular elliptic equations (35J75) Fractional partial differential equations (35R11)

Related Items

Dirichlet problems involving the Hardy-Leray operators with multiple polars ⋮ Semilinear elliptic Schrödinger equations involving singular potentials and source terms ⋮ Poisson problems involving fractional Hardy operators and measures ⋮ The radial symmetry of positive solutions for semilinear problems involving weighted fractional Laplacians ⋮ Relativistic stable operators with critical potentials ⋮ Singularities of fractional Emden's equations via Caffarelli-Silvestre extension ⋮ Existence of solutions to fractional elliptic equation with the Hardy potential and concave-convex nonlinearities

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