We provide bounds for the Hausdorff dimension of the singular set of minima of functionals of the type , where F is only Hölder continuous with respect to the variables .
Nous bornons la dimension de Hausdorff de l'ensemble singulier des minima de fonctionnelles du type oú F n'est Hölderienne que par rapport aux la variables .
Accepted:
Published online:
Jan Kristensen 1; Giuseppe Mingione 2
@article{CRMATH_2005__340_1_93_0, author = {Jan Kristensen and Giuseppe Mingione}, title = {Non-differentiable functionals and singular sets of minima}, journal = {Comptes Rendus. Math\'ematique}, pages = {93--98}, publisher = {Elsevier}, volume = {340}, number = {1}, year = {2005}, doi = {10.1016/j.crma.2004.11.019}, language = {en}, }
Jan Kristensen; Giuseppe Mingione. Non-differentiable functionals and singular sets of minima. Comptes Rendus. Mathématique, Volume 340 (2005) no. 1, pp. 93-98. doi : 10.1016/j.crma.2004.11.019. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.11.019/
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