Remarks on the solvability of an elliptic equation with a supercritical term involving the Hardy-Leray potential

DOI10.1016/J.JMAA.2012.04.055zbMath1248.35081OpenAlexW2008508247MaRDI QIDQ439270

Susana Merchán, Ireneo Peral Alonso

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.055

zbMATH Keywords

existence and nonexistenceHardy-Leray potentialregularity resultssemilinear and quasilinear elliptic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Quasilinear elliptic equations (35J62)

Related Items (5)

Some qualitative questions on the equation \(-\operatorname{div}(a(x,u,u))=f(x,u)\) ⋮ Existence and regularity for a general class of quasilinear elliptic problems involving the Hardy potential ⋮ Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy-Leray potential ⋮ Ireneo peral: forty years as mentor ⋮ A remark on the existence properties of a semilinear heat equation involving a Hardy-Leray potential

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• Hardy—Poincaré inequalities with boundary singularities
• Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
• Some results for semilinear elliptic equations with critical potential
• A Dirichlet problem involving critical exponents

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