Local estimates for minimizers of some convex integral functional of the gradient and the Strong Maximum Principle
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 th...
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| Format: | article |
| Language: | eng |
| Published: |
2012
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| Online Access: | http://hdl.handle.net/10174/4594 |
| Country: | Portugal |
| Oai: | oai:dspace.uevora.pt:10174/4594 |
| Summary: | 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. |
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