Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590835 | Journal of Functional Analysis | 2013 | 28 Pages |
Abstract
We obtain monotonicity properties for minima and stable solutions of general energy functionals of the type∫F(∇u,u,x)dx 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
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ovidiu Savin, Enrico Valdinoci,