Calculus of Variations and Geometric Measure Theory

S. Dipierro - A. Pinamonti

Symmetry results for stable and monotone solutions to fibered systems of PDEs

created by pinamonti on 02 Dec 2012
modified on 16 Apr 2014


Accepted Paper

Inserted: 2 dec 2012
Last Updated: 16 apr 2014

Journal: Communications in Contemporary Mathematics
Year: 2014


We study the symmetry properties for solutions of fibered elliptic systems. We obtain a Poincar\'e-type formula for the solutions of the system and we use it to prove a symmetry result both for stable and for monotone solutions.