Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4197
 Title: Symmetry and monotonicity results for positive solutions of p-Laplace systems Authors: Azizieh, Céline Keywords: p-Laplacian; symmetry results; systems of PDE's Issue Date: 2002 Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche Source: Céline Azizieh, "Symmetry and monotonicity results for positive solutions of p-Laplace systems ", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 34 (2002), pp. 67-98. Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics34 (2002) Abstract: In this paper, we extend to a system of the type $\begin{cases}\begin{array}{c}-\Delta_{p_{1}}u=f\left(v\right)\quad in\,\Omega,\quad u>0\quad in\,\Omega\quad u=0\quad on\,\partial\Omega,\\-\Delta_{p_{2}}v=g\left(u\right)\quad in\,\Omega,\quad v>0\quad in\,\Omega\quad v=0\quad on\,\partial\Omega,\end{array}\end{cases}$ where $\Omega\subset\mathbb{R}^{N}$ is bounded, the monotonicityand simmetry results of Damascelli and Pacella obtained in $\left[5\right]$in the case of a scalar p-Laplace equation with 1 < p < 2. For thispurpose, we use the moving hyperplanes method and we suppose that$f,g\::\:\mathbb{R}\rightarrow\mathbb{R}^{+}$ are increasing on $\mathbb{R}^{+}$and locally Lipschitz continuous on $\mathbb{R}$ and p$_{1},$ p$_{2}$$\epsilon$ (1, 2) or p$_{1}\:\epsilon\left(1,\infty\right),$ p$_{2}$=2 Type: Article URI: http://hdl.handle.net/10077/4197 ISSN: 0049-4704 Appears in Collections: Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.34 (2002)

###### Files in This Item:
File Description SizeFormat

CORE Recommender

#### Page view(s)

605
checked on Oct 16, 2019