arXiv subjects

C. Azizieh

Publications and source records attributed to C. Azizieh.

2 recordsLinked to original sources

arXiv2001

Symmetry and monotonicity results for positive solutions of p-Laplace systems

We extend to the case of a system involving p-Laplacians, the monotonicity and symmetry results of Damascelli and Pacella obtained in the case of a scalar p-Laplace equation with $1<p<2$. For this purpose, we use the moving hyperplanes method and we suppose that the right hand sides are increasing and locally Lipschitz continuous.

math.AP↗

arXiv2001

A note on the moving hyperplane method

We give more precision on the regularity of the domain that is needed to have the monotonicity and symmetry results recently proved by Damascelli and Pacella, result concerning p-Laplace equations. For this purpose, we study the continuity and semicontinuity of some parameters linked with the moving hyperplane method.

math.AP↗