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

Saoudi, Kamel2022-09-192022-09-192017-11-21Saoudi, 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. 1-9.1072-6691https://hdl.handle.net/10877/16152The 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.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalSingular elliptic equationVariational methodsExistenceNon-existenceExistence and non-existence of solutions for a singular problem with variable potentialsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.