Data di Pubblicazione:
2013
Citazione:
Some monotonicity results for minimizers in the calculus of variations / O. Savin, E. Valdinoci. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 264:10(2013), pp. 2469-2496.
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Domain perturbations ; Stable solutions ; Monotonicity ; Symmetry results
Elenco autori:
O. Savin, E. Valdinoci
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