| Autor: |
Horieh Ghorbani, Ghasem A. Afrouzi |
| Jazyk: |
angličtina |
| Rok vydání: |
2007 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Differential Equations, Vol 2007, Iss 177, Pp 1-9 (2007) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
We consider the system of differential equations $$displaylines{ -Delta_{p(x)} u=lambda [g(x)a(u) + f(v)] quadhbox{in }Omegacr -Delta_{q(x)} v=lambda [g(x)b(v) + h(u)] quadhbox{in }Omegacr u=v= 0 quadhox{on } partial Omega }$$ where $p(x) in C^1(mathbb{R}^N)$ is a radial symmetric function such that $sup| abla p(x)| < infty$, $1 < inf p(x) leq sup p(x) < infty$, and where $-Delta_{p(x)} u = -{ m div}| abla u|^{p(x)-2} abla u$ which is called the $p(x)$-Laplacian. We discuss the existence of positive solution via sub-super-solutions without assuming sign conditions on $f(0),h(0)$. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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