Boundary regularity for minimizing currents with prescribed mean curvature

Duzaar F, Steffen K (1993)

Publication Type: Journal article

Publication year: 1993

Journal

Calculus of Variations and Partial Differential Equations Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 1

Pages Range: 355-406

Journal Issue: 4

URI: http://www.springerlink.com/content/v82680827q00q040/fulltext.pdf

DOI: 10.1007/BF01206958

Abstract

We prove complete boundary regularity for energy minimizing integer multiplicity rectifiable n currents in ℝn+1 of prescribed mean curvature H with boundary B=⊥ represented by an oriented smooth submanifold of dimension n - 1 in ℝsun+1. We also give applications to the Plateau problem for surfaces with prescribed mean curvature.

Authors with CRIS profile

Frank Duzaar

Involved external institutions

Rheinische Friedrich-Wilhelms-Universität Bonn DE Germany (DE) Heinrich-Heine-Universität Düsseldorf DE Germany (DE)

How to cite

APA:

Duzaar, F., & Steffen, K. (1993). Boundary regularity for minimizing currents with prescribed mean curvature. Calculus of Variations and Partial Differential Equations, 1(4), 355-406. https://dx.doi.org/10.1007/BF01206958

MLA:

Duzaar, Frank, and Klaus Steffen. "Boundary regularity for minimizing currents with prescribed mean curvature." Calculus of Variations and Partial Differential Equations 1.4 (1993): 355-406.

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