Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609328 | Journal of Differential Equations | 2016 | 27 Pages |
Abstract
In this paper we show that minima and stable solutions of a general energy functional of the form∫ΩF(∇u,∇v,u,v,x)dx enjoy some monotonicity properties, under an assumption on the growth at infinity of the energy.Our results are quite general, and comprise some rigidity results which are known in the literature.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Julien Brasseur, Serena Dipierro,