Weak solutions of semilinear elliptic equations with Leray-Hardy potentials and measure data

DOI10.3934/mine.2019.3.391zbMath1440.35162arXiv1902.04806OpenAlexW2913517582WikidataQ127974146 ScholiaQ127974146MaRDI QIDQ2305074

Laurent Véron, Huyuan Chen

Publication date: 10 March 2020

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04806

zbMATH Keywords

weak solutioncapacityRadon measureLeray-Hardy potential

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (9)

Martin kernel of Schrödinger operators with singular potentials and applications to B.V.P. for linear elliptic equations ⋮ Schrödinger operators with Leray-Hardy potential singular on the boundary ⋮ Boundary singularities of semilinear elliptic equations with Leray-Hardy potential ⋮ Dirichlet problems involving the Hardy-Leray operators with multiple polars ⋮ Higher order evolution inequalities involving Leray–Hardy potential singular on the boundary ⋮ Poisson problems involving fractional Hardy operators and measures ⋮ Semilinear elliptic Schrödinger equations with singular potentials and absorption terms ⋮ On global estimates for Poisson problems with critical singular potentials ⋮ The Poisson problem for the fractional Hardy operator: Distributional identities and singular solutions

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