TY - GEN
T1 - A regularity theory for scalar local minimizers of splitting-type variational integrals
A1 - Bildhauer,Michael
A1 - Fuchs,Martin
A1 - Zhong,Xiao
Y1 - 2012/03/15
N2 - Starting from Giaquinta's counterexample [Gi] we introduce the class of splitting functionals being of (p,q)-growth with exponents p\leq q<\infty and show for the scalar case that locally bounded local minimizers are of class C^{1,\mu}. Note that to our knowledge the only C^{1,\mu}-results without imposing a relation between p and q concern the case of two independent variables as it is outlined in Marcellini's paper [Ma1], Theorem A, and later on in the work of Fusco and Sbordone [FS], Theorem 4.2.
CY - Saarbrücken
PB - Saarländische Universitäts- und Landesbibliothek
AD - Postfach 151141, 66041 Saarbrücken
UR - http://scidok.sulb.uni-saarland.de/volltexte/2012/4720
ER -