On the existence results for a class of singular elliptic system involving indefinite weight functions and asymptotically linear growth forcing term

In this work, we study the existence of positive solutions to the singular system $$ \left\{\begin{array}{ll} -\Delta_{p}u = \lambda a(x)f(v)-u^{-\alpha} & \textrm{ in }\Omega,\\ -\Delta_{p}v = \lambda b(x)g(u)-v^{-\alpha} & \textrm{ in }\Omega,\\ u = v= 0 & \textrm{ on }\partial \Omega,...

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Bibliographic Details
Main Authors: Ghasem A. Afrouzi, S. Shakeri, N. T. Chung
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31983