Please use this identifier to cite or link to this item: doi:10.22028/D291-26303
Title: Variational integrals with a wide range of anisotropy
Author(s): Bildhauer, Michael
Fuchs, Martin
Zhong, Xiao
Language: English
Year of Publication: 2005
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: We consider anisotropic variational integrals of (p,q)-growth and prove for the scalar case interior C^{1,\alpha}-regularity of bounded local minimizers under the assumption that q\leq2p by the way discussing a famous counterexample of Giaquinta. In the vector case we obtain some higher integrability result for the gradient.
Link to this record: urn:nbn:de:bsz:291-scidok-44947
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 128
Date of registration: 15-Feb-2012
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

Files for this record:
File Description SizeFormat 
preprint_128_05.pdf203,76 kBAdobe PDFView/Open

Items in SciDok are protected by copyright, with all rights reserved, unless otherwise indicated.