Some monotonicity results for general systems of nonlinear elliptic PDEs

J. Brasseur, Serena Dipierro

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    Abstract

    © 2016 Elsevier Inc.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.
    Original languageEnglish
    Pages (from-to)2854-2880
    JournalJournal of Differential Equations
    Volume261
    Issue number5
    DOIs
    Publication statusPublished - 2016

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