Asymptotically regular problems I: Higher integrability
Scheven C, Schmidt T (2010)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2010
Journal
Publisher: Elsevier
Book Volume: 248
Pages Range: 745-791
Journal Issue: 4
URI: http://cvgmt.sns.it/paper/1765/
DOI: 10.1016/j.jde.2009.11.021
Abstract
We consider weak solutions u of non-linear systems of partial differential equations. Assuming that the system exhibits a certain kind of elliptic behavior near infinity we prove higher integrability results for the gradient Du. In particular, we establish Hölder continuity of u in low dimensions. Moreover, we obtain analogous results for vectorial minimizers of multi-dimensional variational integrals. Finally, we discuss an extension to minimizing sequences and applications to generalized minimizers. © 2009 Elsevier Inc. All rights reserved.
Authors with CRIS profile
Involved external institutions
Germany (DE)How to cite
APA:
Scheven, C., & Schmidt, T. (2010). Asymptotically regular problems I: Higher integrability. Journal of Differential Equations, 248(4), 745-791. https://dx.doi.org/10.1016/j.jde.2009.11.021
MLA:
Scheven, Christoph, and Thomas Schmidt. "Asymptotically regular problems I: Higher integrability." Journal of Differential Equations 248.4 (2010): 745-791.
BibTeX: Download