Interior gradient bounds for local minimizers of variational integrals under nonstandard growth conditions

Inspired by the work of Marcellini and Papi, we consider local minima u : ℝ n ⊃ Ω → ℝ M of variational integrals d x and prove interior gradient bounds under rather general assumptions on h provided that u is locally bounded. Our requirements on the density h do not involve the dimension n . Bibliog...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2010-01, Vol.164 (3), p.345-363
Main Authors: Apushkinskaya, D., Bildhauer, M., Fuchs, M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Inspired by the work of Marcellini and Papi, we consider local minima u : ℝ n ⊃ Ω → ℝ M of variational integrals d x and prove interior gradient bounds under rather general assumptions on h provided that u is locally bounded. Our requirements on the density h do not involve the dimension n . Bibliography: 18 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-009-9751-1