- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 On nonlinear elliptic equations with singular lower order term. Bull. Korean Math. Soc.Published online November 5, 2020 Amine Marah and Hicham Redwane FST SETTAT, Faculté des Sciences Juridiques, Economiques et Sociales Université Hassan premier faculté Abstract : We prove existence and regularity results of solutions for a class of nonlinear singular elliptic problems like \left\{ \begin{aligned} &-{\rm div}\Big((a(x)+|u|^q) \nabla u\Big)= \frac{f}{|u|^\gamma}\ \ {\rm in}\ \Omega,\\ & u=0\ \ {\rm on}\ {\partial \Omega},\\ \end{aligned} \right. where $\Omega$ is a bounded open subset of $\mathbb{R}^N (N \geq 2)$, $a(x)$ is a measurable nonnegative function, $q, \gamma> 0$ and the source $f$ is a nonnegative (not identicaly zero) function belonging to $L^m(\Omega)$ for some $m \geq 1$. Our results will depend on the summability of $f$ and on the values of $q, \gamma> 0$. Keywords : Nonlinear singular elliptic equations, Existence, Regularity. MSC numbers : 35J62, 35J75. Full-Text :