Published Paper

Inserted: 18 dec 2001

Journal: Rend. Ist. Mat. Trieste
Volume: XXXI
Pages: 203-234
Year: 1999

Abstract:

\documentclass{article}

\begin{document}

We shall prove everywhere regularity for weak solutions of elliptic systems of the form $$\sum\frac{\partial}{\partial x_{i}}a(x,
Du
)u^{\alpha}_{x{i}}=0$$ under general $p$, $q$ growth conditions and in particular for minimizers for a class of variational integrals whose models is $$I(u)=\int_{\Omega}a(x)\left( 1+
Du
^{{2}\right){\frac{\alpha}(x)}{2}}dx $$ \end{document}

Keywords: regularity, Non standard growth conditions