Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth

Duzaar F, Grotowski JF, Kronz M (2005)

Publication Type: Journal article

Publication year: 2005

Journal

Annali Di Matematica Pura Ed Applicata Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 184

Pages Range: 421-448

Journal Issue: 4

URI: http://www.springerlink.com/content/vcrdegy4y8j1b1px/fulltext.pdf

DOI: 10.1007/s10231-004-0117-5

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 minimizes The result is new for general almost minimizers, and in the case of absolute minimizers it considerably simplifies the existing proof.

Authors with CRIS profile

Frank Duzaar Lehrstuhl für Partial Differential Equations Manfred Kronz Department Mathematik

How to cite

APA:

Duzaar, F., Grotowski, J.F., & Kronz, M. (2005). Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth. Annali Di Matematica Pura Ed Applicata, 184(4), 421-448. https://doi.org/10.1007/s10231-004-0117-5

MLA:

Duzaar, Frank, Joseph Francis Grotowski, and Manfred Kronz. "Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth." Annali Di Matematica Pura Ed Applicata 184.4 (2005): 421-448.

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