Partial regularity for almost minimizers of quasi-convex integrals

Duzaar F, Gastel A, Grotowski JF (2000)

Publication Type: Journal article

Publication year: 2000

Journal

SIAM Journal on Mathematical Analysis Society for Industrial and Applied Mathematics

Publisher: Society for Industrial and Applied Mathematics

Book Volume: 32

Pages Range: 665-687

Journal Issue: 3

URI: http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJMAAH000032000003000665000001&idtype=cvips&gifs=yes

DOI: 10.1137/S0036141099374536

Abstract

We consider almost minimizers of variational integrals whose integrands are quasi-convex. Under suitable growth conditions on the integrand and on the function determining the almost minimality, we establish almost everywhere regularity for almost minimizers and obtain results on the regularity of the gradient away from the singular set. We give examples of problems from the calculus of variations whose solutions can be viewed as such almost minimizers. © 2000 Society for Industrial and Applied Mathematics.

Authors with CRIS profile

Frank Duzaar

Involved external institutions

Humboldt-Universität zu Berlin DE Germany (DE)

How to cite

APA:

Duzaar, F., Gastel, A., & Grotowski, J.F. (2000). Partial regularity for almost minimizers of quasi-convex integrals. SIAM Journal on Mathematical Analysis, 32(3), 665-687. https://dx.doi.org/10.1137/S0036141099374536

MLA:

Duzaar, Frank, Andreas Gastel, and Joseph F. Grotowski. "Partial regularity for almost minimizers of quasi-convex integrals." SIAM Journal on Mathematical Analysis 32.3 (2000): 665-687.

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