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arXiv · 1402.6237

A new monotonicity formula for solutions to the elliptic system $\Delta u=\nabla W(u) $

Christos Sourdis
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Abstract

Using a physically motivated stress energy tensor, we prove weak and strong monotonicity formulas for solutions to the semilinear elliptic system $\Delta u=\nabla W(u)$ with $W$ nonnegative. In particular, we extend a recent two dimensional result to all dimensions.

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Christos Sourdis. 2014-02-25. A new monotonicity formula for solutions to the elliptic system $\Delta u=\nabla W(u) $. https://arxiv.org/abs/1402.6237

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