TY  - GEN
T1  - Interior gradient bounds for local minimizers of variational integrals under nonstandard growth conditions
A1  - Apushkinskaya,Darya
A1  - Bildhauer,Michael
A1  - Fuchs,Martin
Y1  - 2012/03/23
N2  - Inspired by the work of Marcellini and Papi [MP] we consider local minima u:\mathbb{R}^{n}\supset\Omega\rightarrow\mathbb{R}^{M} of variational integrals of the form \int_{\Omega}h(\left|\nabla u\right|)dx and prove interior gradient bounds under rather general assumptions on h working with the additional hypothesis that u is locally bounded. Our requirements imposed on the density h do not involve the dimension n.
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2012/4736
ER  -