Everywhere regularity for a class of vectorial functionals under subquadratic general growth conditions


AbstractWe consider the integral functional of the calculus of variations ∫Ωf(Du)dx, where f:RnN→R satisfies f(z)=g(|z|) and g is an N-function with subquadratic p–q growth. We prove that minimizers u:Ω⊂Rn→RN of such a functional are locally Lipschitz continuous, provided g verifies some additional conditions

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Last time updated on 6/5/2019

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