On nonhomogeneous elliptic equations with the Hardy-Leray potentials

DOI10.1007/s11854-021-0182-3zbMath1481.35229arXiv1705.08047OpenAlexW4200299396MaRDI QIDQ2073021

Alexander Quaas, Feng Zhou, Huyuan Chen

Publication date: 27 January 2022

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08047

zbMATH Keywords

existencenon-existencesemilinear equation with Laplacian

Mathematics Subject Classification ID

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

Related Items (11)

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 ⋮ Positive supersolutions of non-autonomous quasilinear elliptic equations with mixed reaction ⋮ Semilinear elliptic Schrödinger equations involving singular potentials and source terms ⋮ Poisson problems involving fractional Hardy operators and measures ⋮ QUALITATIVE PROPERTIES FOR ELLIPTIC PROBLEMS WITH CKN OPERATORS ⋮ The radial symmetry of positive solutions for semilinear problems involving weighted fractional Laplacians ⋮ Higher-order evolution inequalities involving convection and Hardy-Leray potential terms in a bounded domain ⋮ Semilinear elliptic Schrödinger equations with singular potentials and absorption terms ⋮ On the weighted Dirichlet eigenvalues of Hardy operators involving critical gradient terms

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