| Autor: |
Abdelqoddous Moussa, Mohammed Moussa, Hatim Mazan |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Arab Journal of Mathematical Sciences. |
| ISSN: |
2588-9214 |
| DOI: |
10.1108/ajms-03-2021-0060 |
| Popis: |
Purpose In this paper, the authors give a new version of the sub-super solution method and prove the existence of positive solution for a (p, q)-Laplacian system under weak assumptions than usually made in such systems. In particular, nonlinearities need not be monotone or positive. Design/methodology/approach The authors prove that the sub-super solution method can be proved by the Shcauder fixed-point theorem and use the method to prove the existence of a positive solution in elliptic systems, which appear in some problems of population dynamics. Findings The results complement and generalize some results already published for similar problems. Originality/value The result is completely new and does not appear elsewhere and will be a reference for this line of research. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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