1.Mathematisches Institut,Universit?t Erlangen-Nürnberg,Erlangen,Germany;2.Department of Mathematics, City College of New York,City University of New York,New York,USA
Abstract:
We prove a small excess regularity theorem for almost minimizers of a quasi-convex variational integral of subquadratic growth. The proof is direct, and it yields an optimal modulus of continuity for the derivative of the almost minimizer. The result is new for general almost minimizers, and in the case of absolute minimizers it considerably simplifies the existing proof. Mathematics Subject Classification (2000) 49N60, 26B25
