Calculus of Variations and Geometric Measure Theory
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A. Fiaschi - G. Treu

The Bounded Slope Condition for functionals depending on $x$, $u$, and $Grad u$.

created by fiaschi on 31 Jan 2011



Inserted: 31 jan 2011

Year: 2010


A global regularity result is proved for a class of minimizers of functionals of the form \begin{eqnarray} \mathcal{I}(u)=\int\Omega f(
\nabla u(x)
)+g(x,u(x))\,dx\qquad u\in\phi+W{1,1}0(\Omega)\nonumber \end{eqnarray} where $\phi$ satisfies the Bounded Slope Condition.

Keywords: bounded slope condition, regularity of minimizers


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