Some monotonicity results for minimizers in the calculus of variations
Analysis of PDEs
2012-09-10 v1
Abstract
We obtain monotonicity properties for minima and stable solutions of general energy functionals of the type under the assumption that a certain integral grows at most quadratically at infinity. As a consequence we obtain several rigidity results of global solutions in low dimensions.
Keywords
Cite
@article{arxiv.1209.1517,
title = {Some monotonicity results for minimizers in the calculus of variations},
author = {Ovidiu Savin and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1209.1517},
year = {2012}
}