Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Global Morrey regularity results for asymptotically convex variational problems

Global Morrey regularity results for asymptotically convex variational problems We prove some global, up to the boundary of a domain ष ⊂ ℝ n , continuity and Morrey regularity results for almost minimizers of functionals of the form . The main assumptions are that g is asymptotically convex and that it has superlinear polynomial growth with respect its third argument. The integrand is only required to be locally bounded with respect to its third argument. Some discontinuous behavior with respect to its other arguments is also allowed. We also provide an application of our results to a class of variational problems with obstacles. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Global Morrey regularity results for asymptotically convex variational problems

Download PDF
33 pages

Loading next page...
 
/lp/de-gruyter/global-morrey-regularity-results-for-asymptotically-convex-variational-8FE8F5enf1

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
de Gruyter
Copyright
© de Gruyter 2008
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/FORUM.2008.043
Publisher site
See Article on Publisher Site

Abstract

We prove some global, up to the boundary of a domain ष ⊂ ℝ n , continuity and Morrey regularity results for almost minimizers of functionals of the form . The main assumptions are that g is asymptotically convex and that it has superlinear polynomial growth with respect its third argument. The integrand is only required to be locally bounded with respect to its third argument. Some discontinuous behavior with respect to its other arguments is also allowed. We also provide an application of our results to a class of variational problems with obstacles.

Journal

Forum Mathematicum – de Gruyter

Published: Oct 1, 2008

There are no references for this article.