Existence and non-existence of positive solution for (p, q)-Laplacian with singular weights

We use the Hardy-Sobolev inequality to study existence and non-existence results for a positive solution of the quasilinear elliptic problem -\Delta{p}u − \mu \Delta{q}u = \limda[mp(x)|u|p−2u + \mu mq(x)|u|q−2u] in \Omega driven by nonhomogeneous operator (p, q)-Laplacian with singular weights under...

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Bibliographic Details
Main Authors: Abdellah Ahmed Zerouali, Belhadj Karim
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2016-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/25229