Existence and nonexistence of positive solutions of \(p\)-Kolmogorov equations perturbed by a Hardy potential

DOI10.1016/j.na.2015.07.016zbMath1328.35005OpenAlexW1170365507MaRDI QIDQ897355

Daniel Hauer, Abdelaziz Rhandi, Jerome A. Goldstein

Publication date: 17 December 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.07.016

zbMATH Keywords

existencesingular perturbationnonexistence\(p\)-Laplace operatorweighted Hardy inequalitynonlinear Ornstein-Uhlenbeck operator

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) Quasilinear parabolic equations with (p)-Laplacian (35K92) Strong solutions to PDEs (35D35)

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