Positive solution for the (p, q)-Laplacian systems by a new version of sub-super solution method
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/methodo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Emerald Publishing
2023-07-01
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| Series: | Arab Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | https://www.emerald.com/insight/content/doi/10.1108/AJMS-03-2021-0060/full/pdf |
| Summary: | 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. |
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| ISSN: | 1319-5166 2588-9214 |