Some monotonicity results for general systems of nonlinear elliptic PDEs

J. Brasseur; Serena Dipierro

doi:10.1016/j.jde.2016.05.017

Some monotonicity results for general systems of nonlinear elliptic PDEs

J. Brasseur, Serena Dipierro

Research output: Contribution to journal › Article › peer-review

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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 language	English
Pages (from-to)	2854-2880
Number of pages	27
Journal	Journal of Differential Equations
Volume	261
Issue number	5
DOIs	https://doi.org/10.1016/j.jde.2016.05.017
Publication status	Published - 5 Sep 2016

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@article{47d2a38ea05943e0af87649f61d6140d,

title = "Some monotonicity results for general systems of nonlinear elliptic PDEs",

abstract = "{\textcopyright} 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.",

author = "J. Brasseur and Serena Dipierro",

year = "2016",

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T1 - Some monotonicity results for general systems of nonlinear elliptic PDEs

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AU - Dipierro, Serena

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N2 - © 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.

AB - © 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.

U2 - 10.1016/j.jde.2016.05.017

DO - 10.1016/j.jde.2016.05.017

M3 - Article

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SP - 2854

EP - 2880

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 5

ER -

Some monotonicity results for general systems of nonlinear elliptic PDEs

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