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

C. Azizieh

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

Analysis of PDEs 2007-05-23 v1

Authors: C. Azizieh

Abstract

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.

Keywords

p-Laplace systems positive solutions symmetry monotonicity moving planes method Lipschitz continuity

Cite

@article{arxiv.math/0108049,
  title  = {Symmetry and monotonicity results for positive solutions of p-Laplace systems},
  author = {C. Azizieh},
  journal= {arXiv preprint arXiv:math/0108049},
  year   = {2007}
}

Comments

22 pages

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