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A sub-super solution method to continuous weak solutions for a semilinear elliptic boundary value problems on bounded and unbounded domains
- Source :
- Electronic Research Archive, Vol 32, Iss 6, Pp 3742-3757 (2024)
- Publication Year :
- 2024
- Publisher :
- AIMS Press, 2024.
-
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.
Details
- Language :
- English
- ISSN :
- 26881594
- Volume :
- 32
- Issue :
- 6
- Database :
- Directory of Open Access Journals
- Journal :
- Electronic Research Archive
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.5cb2da450efb407097e2e7dfcdcd3b41
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/era.2024170?viewType=HTML