A new monotonicity formula for solutions to the elliptic system $\Delta u=\nabla W(u) $
Analysis of PDEs
2014-02-27 v2
Abstract
Using a physically motivated stress energy tensor, we prove weak and strong monotonicity formulas for solutions to the semilinear elliptic system with nonnegative. In particular, we extend a recent two dimensional result to all dimensions.
Keywords
Cite
@article{arxiv.1402.6237,
title = {A new monotonicity formula for solutions to the elliptic system $\Delta u=\nabla W(u) $},
author = {Christos Sourdis},
journal= {arXiv preprint arXiv:1402.6237},
year = {2014}
}