Partial regularity for minima of higher order functionals with p(x) growth

Habermann J (2008)

Publication Type: Journal article

Publication year: 2008

Journal

Manuscripta Mathematica Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 126

Pages Range: 1-40

Journal Issue: 1

DOI: 10.1007/s00229-007-0147-6

Abstract

For higher order functionals ∫Ω f(x, δ u(x), {D^m u(x))dx with p(x)-growth with respect to the variable containing D ^m u, we prove that D ^m u is Hölder continuous on an open subset Ω0 Ω of full Lebesgue-measure, provided that the exponent function p : Ω → (1, ∞) itself is Hölder continuous. © 2007 Springer-Verlag.

Authors with CRIS profile

Jens Habermann Naturwissenschaftliche Fakultät

How to cite

APA:

Habermann, J. (2008). Partial regularity for minima of higher order functionals with p(x) growth. Manuscripta Mathematica, 126(1), 1-40. https://doi.org/10.1007/s00229-007-0147-6

MLA:

Habermann, Jens. "Partial regularity for minima of higher order functionals with p(x) growth." Manuscripta Mathematica 126.1 (2008): 1-40.

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