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Higher integrability for minimizers of anisotropic functionals
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 |
$\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 $l$.
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