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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 . Jun2024, Vol. 32 Issue 6, p1-16. 16p. - Publication Year :
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 26881594
- Volume :
- 32
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Electronic Research Archive
- Publication Type :
- Academic Journal
- Accession number :
- 178240596
- Full Text :
- https://doi.org/10.3934/era.2024170