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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Vanishing mean oscillation and regularity in the calculus of variations
Roger MoserAbstract
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.
- Received:
- 07.12.01
- Published:
- 07.12.01