Preprint 96/2001

Vanishing mean oscillation and regularity in the calculus of variations

Roger Moser

Contact the author: Please use for correspondence this email.
Submission date: 07. Dec. 2001
Pages: 10
Bibtex
Download full preprint: PDF (251 kB), PS ziped (129 kB)

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.

24.11.2021, 02:11