Partial regularity of strong local minimizers of quasiconvex integrals with (p,q)-growth

Schemm S, Schmidt T (2009)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2009

Journal

Proceedings of the Royal Society of Edinburgh Section A-Mathematics Cambridge University Press (CUP)

Publisher: Cambridge University Press (CUP)

Book Volume: 139

Pages Range: 595-621

Journal Issue: 3

URI: http://cvgmt.sns.it/paper/1763/

DOI: 10.1017/S0308210507001278

Abstract

We consider strictly quasiconvex integrals in the multi-dimensional calculus of variations. For the C²-integrand f : ^Nn we impose (p, q)-growth conditions with , > 0 and 1 < p q < min {p + 1/n, p(2n 1)/(2n 2)}. Under these assumptions we prove partial C^1,loc- regularity for strong local minimizers of F and the associated relaxed functional F. © 2009 Copyright Royal Society of Edinburgh.

Authors with CRIS profile

Thomas Schmidt Department Mathematik

How to cite

APA:

Schemm, S., & Schmidt, T. (2009). Partial regularity of strong local minimizers of quasiconvex integrals with (p,q)-growth. Proceedings of the Royal Society of Edinburgh Section A-Mathematics, 139(3), 595-621. https://dx.doi.org/10.1017/S0308210507001278

MLA:

Schemm, Sabine, and Thomas Schmidt. "Partial regularity of strong local minimizers of quasiconvex integrals with (p,q)-growth." Proceedings of the Royal Society of Edinburgh Section A-Mathematics 139.3 (2009): 595-621.

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