Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals

Duzaar F, Steffen K (2002)

Publication Type: Journal article

Publication year: 2002

Journal

Journal für die reine und angewandte Mathematik Walter de Gruyter

Publisher: Walter de Gruyter

Book Volume: 546

Pages Range: 73-138

URI: http://www.reference-global.com/doi/pdf/10.1515/crll.2002.046

DOI: 10.1515/crll.2002.046

Abstract

We give a new proof of the small excess regularity theorems for integer multiplicity rectifiable currents of arbitrary dimension and codimension minimizing an elliptic parametric variational integral. This proof does not use indirect blow-up arguments, it covers interior and boundary regularity, it applies to almost minimizing currents, and it gives an explicit and often optimal modulus of continuity for the derivative, i.e. for the tangent plane field of the almost minimizing currents.

Authors with CRIS profile

Frank Duzaar Lehrstuhl für Partial Differential Equations

Involved external institutions

Heinrich-Heine-Universität Düsseldorf DE Germany (DE)

How to cite

APA:

Duzaar, F., & Steffen, K. (2002). Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals. Journal für die reine und angewandte Mathematik, 546, 73-138. https://dx.doi.org/10.1515/crll.2002.046

MLA:

Duzaar, Frank, and Klaus Steffen. "Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals." Journal für die reine und angewandte Mathematik 546 (2002): 73-138.

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