Boundary singularities of semilinear elliptic equations with Leray-Hardy potential

DOI10.1142/S0219199721500516zbMath1501.35191arXiv1910.00336OpenAlexW3156130013MaRDI QIDQ5102385

Huyuan Chen, Laurent Véron

Publication date: 6 September 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00336

zbMATH Keywords

existencesingularitiesuniquenesssemilinear elliptic equationsRadon measureHardy potential

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Singular elliptic equations (35J75) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Schrödinger operators with Leray-Hardy potential singular on the boundary ⋮ Semilinear elliptic Schrödinger equations involving singular potentials and source terms ⋮ QUALITATIVE PROPERTIES FOR ELLIPTIC PROBLEMS WITH CKN OPERATORS ⋮ Higher-order evolution inequalities involving convection and Hardy-Leray potential terms in a bounded domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hardy inequality and Pohozaev identity for operators with boundary singularities: some applications
• Boundary value problems with measures for elliptic equations with singular potentials
• Positive solutions of elliptic equations in nondivergence form and their adjoints
• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• On the structure of Hardy-Sobolev-Maz'ya inequalities
• Singularités éliminables pour des équations semi-linéaires
• Local properties of stationary solutions of some nonlinear singular Schrödinger equations
• Boundary singularities of solutions of some nonlinear elliptic equations
• Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations
• On some nonlinear Sturm-Liouville problems
• Anisotropic singularities of solutions of nonlinear elliptic equations in \({\mathbb{R}}^ 2\)
• The boundary trace of positive solutions of semilinear elliptic equations: the subcritical case
• The uncertainty principle: A mathematical survey
• Removable singularities and boundary traces.
• Sharp Hardy and Hardy-Sobolev inequalities with point singularities on the boundary
• Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
• On nonhomogeneous elliptic equations with the Hardy-Leray potentials
• Schrödinger operators with Leray-Hardy potential singular on the boundary
• Weak solutions of semilinear elliptic equations with Leray-Hardy potentials and measure data
• On Hardy inequalities with singularities on the boundary
• Boundary Harnack inequality and a priori estimates of singular solutions of quasilinear elliptic equations
• Boundary trace of positive solutions of supercritical semilinear elliptic equations in dihedral domains
• Boundary trace of positive solutions of semilinear elliptic equations in Lipschitz domains: the subcritical case
• Elliptic Equations Involving Meausres
• On a New Characterization of Besov Spaces with Negative Exponents
• Nonlinear elliptic equations with measures revisited
• Positive Harmonic Functions on Lipschitz Domains

This page was built for publication: Boundary singularities of semilinear elliptic equations with Leray-Hardy potential