Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/4577

Title: Local Estimates for Minimizers of Some Convex Integral Functional of the Gradient and the Strong Maximum Principle
Authors: Goncharov, Vladimir V.
Santos, Telma J.
Editors: Ricceri, Biagio
Mordukhovich, Boris S.
Keywords: Strong Maximum Principle
Comparison Theorems
Issue Date: 17-Mar-2011
Publisher: Springer
Citation: Set-Valued and Variational Analysis Volume 19, Number 2, 179-202, 2011
Abstract: We consider a class of convex integral functionals with lagrangeans depending only on the gradient and satisfying a generalized symmetry assumption, which includes as a particular case the rotational symmetry. Adapting the method by A. Cellina we obtain a kind of local estimates for minimizers in the respective variational problems, which is applied then to deduce some versions of the Strong Maximum Principle in the variational setting.
URI: http://hdl.handle.net/10174/4577
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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