Combined effects in nonlinear singular elliptic problems in a bounded domain

Advances in Nonlinear Analysis

article

Rym Chemmam¹  Habib Mâagli¹  Syrine Masmoudi¹  Malek Zribi¹ 

[1] Département de Mathématiques, Faculté des Sciences de Tunis, Campus universitaire

关键词: Green function;    asymptotic behavior;    Dirichlet problem;    subsolution;    supersolution;   

DOI  :  10.1515/anona-2012-0008

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

Abstract. We establish an existence result of positive solutions to the following boundary value problem: where is a bounded -domain in ℝ n , and are nonnegative functions in , , satisfying some appropriate assumptions related to Karamata regular variation theory. We give estimates on such solutions where appear the combined effects of singular and sublinear terms in the nonlinearity.

【 授权许可】

CC BY