Symmetry results for nonvariational quasi-linear elliptic systems
Abstract
By virtue of a weak comparison principle in small domains we prove axial symmetry in convex and symmetric smooth bounded domains as well as radial symmetry in balls for regular solutions of a class of quasi-linear elliptic systems in non-variational form. Moreover, in the two dimensional case, we study the system when set in a half-space.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2009
- arXiv:
- arXiv:0907.0160
- Bibcode:
- 2009arXiv0907.0160M
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35J40;
- 58E05
- E-Print:
- 15 pages