On the confinement of bounded entire solutions to a class of semilinear elliptic systems

Sourdis, Christos (2014) On the confinement of bounded entire solutions to a class of semilinear elliptic systems. (Submitted)

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Abstract

Under appropriate assumptions, we show that all bounded entire solutions to a class of semilinear elliptic systems are confined in a convex domain. Moreover, we prove a Liouville type theorem in the case where the domain is strictly convex. Our result represents an extension, under less regularity assumptions, of a recent result. We also provide several applications

Item Type: Article
Depositing User: Dr. Christos Sourdis
Date Deposited: 18 Feb 2014 17:19
Last Modified: 05 May 2017 09:28
URI: http://preprints.acmac.uoc.gr/id/eprint/287

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