Vanishing mean oscillation and regularity in the calculus of variations

Roger Moser
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Submission date: 07. Dec. 2001
Pages: 10
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Abstract:
We consider critical points and solutions of the gradient flow for variational integrals with integrands satisfying a Legendre-Hadamard condition. We show that if a solution of the Euler-Lagrange system or the gradient flow has first (spatial) derivatives which are bounded and of vanishing mean oscillation, higher regularity follows.