# American Institute of Mathematical Sciences

January  2009, 11(1): 57-65. doi: 10.3934/dcdsb.2009.11.57

## Comparison results without strict convexity

 1 Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, Via R. Cozzi 53, 20125 Milano, Italy 2 Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Trieste 63, 35121 Padova, Italy, Italy

Received  January 2007 Revised  February 2008 Published  November 2008

In this paper we establish a comparison result for solutions to the problem

$\mbox{minimize}\int_\Omega l(||\nabla u(x)||)dx$

or to the problem

$\mbox{minimize}\int_\Omega l(\gamma_C(\nabla u(x))dx,$

for a special class of solutions, without assuming neither smoothness nor strict convexity of $l$.

Citation: Arrigo Cellina, Carlo Mariconda, Giulia Treu. Comparison results without strict convexity. Discrete & Continuous Dynamical Systems - B, 2009, 11 (1) : 57-65. doi: 10.3934/dcdsb.2009.11.57
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