A weighted Hardy inequality and nonexistence of positive solutions

DOI10.1007/s00013-013-0484-5zbMath1263.35011OpenAlexW2012505058MaRDI QIDQ1945790

Abdelaziz Rhandi, Daniel Hauer

Publication date: 9 April 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0484-5

zbMATH Keywords

singular potential\(p\)-Kolmogorov operatorweighted Poincaré inequality

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items

On a Hardy operator inequality, Existence and nonexistence of positive solutions of \(p\)-Kolmogorov equations perturbed by a Hardy potential, Several Hardy-type inequalities with weights related to Baouendi–Grushinoperators, General weighted Hardy-type inequalities related to Greiner operators, A unified approach to weighted Hardy type inequalities on Carnot groups, Uniqueness of weighted Sobolev spaces with weakly differentiable weights, Improved Hardy and Rellich type inequalities with two weight functions, Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation, Instantaneous blowup and singular potentials on Heisenberg groups

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