Geodesic
SOME REMARK ON THE NONEXISTENCE OF POSITIVE SOLUTIONS FOR SOME alpha, P-LAPLACIAN SYSTEMS
ALIMOHAMMADY , M. 1 ; KOOZEGAR, M.2
1 Islamic Azad University, branch Noor, Iran
2 Department of Mathematics, University of Mazandaran, Babolsar 47416 - 1468, Iran.
Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 2, p. 56-60.

Voir la notice de l'article provenant de la source International Scientific Research Publications

This paper deals with nonexistence result for positive solution in $C^1(\overline{\Omega})$ to the following reaction-diffusion system
$ \begin{cases} -\Delta_{a,p}u = a_1v^{p-1} - b_1v^{\gamma -1} - c,\,\, \,\,x\in \Omega,\\ -\Delta_{a,p}v = a_1u^{p-1} - b_1u^{\gamma -1} - c,\,\, \,\,x\in \Omega, \qquad (0.1)\\ u = 0 = v \,\, \,\,x\in \partial \Omega, \end{cases} $
where $\Delta_{a,p}$ denotes the $a, p$-Laplacian operator defined by $\Delta_{a,p}z=div(a| \nabla z|^{p-2}\nabla z); p1, \gamma(p); a_1, b_1 $ and $c$ are positive constant, $\Omega$­ is a smooth bounded domain in $\mathbb{R}^N(N \geq1)$ with smooth boundary and $a(x) \in L^\infty(\Omega­), a(x) \geq a_0 0$ for all $x\in\Omega$ ­.
DOI : 10.22436/jnsa.001.02.01
Classification : 35P20, 35J70, 35BJ20
Keywords: p, a-Laplacian, nonexistence, positive solution, reaction-diffusion systems.

ALIMOHAMMADY , M.  1 ; KOOZEGAR, M. 2

1 Islamic Azad University, branch Noor, Iran
2 Department of Mathematics, University of Mazandaran, Babolsar 47416 - 1468, Iran. 
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ALIMOHAMMADY , M. ; KOOZEGAR, M. SOME REMARK ON THE NONEXISTENCE OF POSITIVE SOLUTIONS FOR SOME alpha, P-LAPLACIAN SYSTEMS. Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 2, p. 56-60. doi : 10.22436/jnsa.001.02.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.001.02.01/

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