Existence and non-existence of solutions for a singular problem with variable potentials
Date
2017-11-21
Authors
Saoudi, Kamel
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
The purpose of this article is to prove some existence and nonexistence theorems for the inhomogeneous singular Dirichlet problem
-∆pu = λk(x)/uδ ± h(x)uq.
For proving our results we use the sub and super solution method, and monotonicity arguments.
Description
Keywords
Singular elliptic equation, Variational methods, Existence, Non-existence
Citation
Saoudi, K. (2017). Existence and non-existence of solutions for a singular problem with variable potentials. <i>Electronic Journal of Differential Equations, 2017</i>(291), pp. 1-9.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.