A. Fiaschi - G. Treu
The Bounded Slope Condition for functionals depending on $x$, $u$, and $Grad u$.
Preprint
Inserted: 31 jan 2011
Year: 2010
Abstract:
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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