Data di Pubblicazione:
2016
Citazione:
Some monotonicity results for general systems of nonlinear elliptic PDEs / J. Brasseur, S. Dipierro. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 261:5(2016), pp. 2854-2880. [10.1016/j.jde.2016.05.017]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Domain perturbations; Monotonicity results; Stable solutions; Analysis
Elenco autori:
J. Brasseur, S. Dipierro
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