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arXiv · 1402.2495

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

Christos Sourdis
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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 of Smyrnelis. We also provide several applications.

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Christos Sourdis. 2014-02-11. On the confinement of bounded entire solutions to a class of semilinear elliptic systems. https://arxiv.org/abs/1402.2495

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