@article{Ghanmi2024, 
author = {Abdeljabbar Ghanmi and Hadeel Z. Alzumi and Noureddine Zeddini},
title = {A sub-super solution method to continuous weak solutions for a semilinear elliptic boundary value problems on bounded and unbounded domains},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {6},
pages = {3742-3757},
keywords = {Green's function, elliptic systems, Schauder fixed point theorem, sub-supersolutions method},
url = {https://www.sciopen.com/article/10.3934/era.2024170},
doi = {10.3934/era.2024170},
abstract = {In this paper, we prove the existence of solutions for an elliptic system. More precisely, we combine the potential theory with the sub-super solution method and use the properties of the well-known Kato class to justify our existence results. The novelty of our study is that we consider either the bounded or the exterior domain; Also, the nonlinearities may be singular near the boundary. Some examples are presented to validate our main results.}
}