arXiv:1810.03837 Abstract | arXiv Analytics

arXiv:1810.03837 [math.AP]Abstract References Reviews Resources

Lipschitz regularity for orthotropic functionals with nonstandard growth conditions

Published 2018-10-09Version 1

We consider a model convex functional with orthotropic structure and super-quadratic nonstandard growth conditions. We prove that bounded local minimizers are locally Lipschitz, with no restrictions on the ratio between the highest and the lowest growth rate.

Comments: 37 pages

Categories: math.AP, math.OC

Subjects: 35J70, 35B65, 49K20

Keywords: orthotropic functionals, lipschitz regularity, super-quadratic nonstandard growth conditions, model convex functional, lowest growth rate

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