Article ID Journal Published Year Pages File Type
4609328 Journal of Differential Equations 2016 27 Pages PDF
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
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