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arxiv: 1810.03837 · v1 · pith:XPZZRMYDnew · submitted 2018-10-09 · 🧮 math.AP · math.OC

Lipschitz regularity for orthotropic functionals with nonstandard growth conditions

classification 🧮 math.AP math.OC
keywords growthconditionslipschitznonstandardorthotropicboundedconsiderconvex
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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.

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