A sub-super solution method to continuous weak solutions for a semilinear elliptic boundary value problems on bounded and unbounded domains

Autor:	Abdeljabbar Ghanmi, Hadeel Z. Alzumi, Noureddine Zeddini
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	green's function elliptic systems schauder fixed point theorem sub-supersolutions method Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 32, Iss 6, Pp 3742-3757 (2024)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2024170?viewType=HTML
Popis:	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.
Databáze:	Directory of Open Access Journals
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