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arXiv · 1501.00301

A Liouville type result for bounded, entire solutions to a class of variational semilinear elliptic systems

Christos Sourdis
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Abstract

We prove a Liouville type result for bounded, entire solutions to a class of variational semilinear elliptic systems, based on the growth of their potential energy over balls with growing radius. Important special cases to which our result applies are the Ginzburg-Landau system and systems that arise in the study of multi-phase transitions.

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Christos Sourdis. 2015-01-01. A Liouville type result for bounded, entire solutions to a class of variational semilinear elliptic systems. https://arxiv.org/abs/1501.00301

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