Existence and non-existence of solutions for a singular problem with variable potentials

The purpose of this article is to prove some existence and nonexistence theorems for the inhomogeneous singular Dirichlet problem $$ - \Delta_p u = \frac{\lambda k(x)}{u^\delta}\pm h(x) u^q. $$ For proving our results we use the sub and super solution method, and monotonicity arguments.

Bibliographic Details
Main Author: Kamel Saoudi
Format: Article
Language:English
Published: Texas State University 2017-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/291/abstr.html