Published Paper
Inserted: 15 oct 2009
Journal: Boll. Unione Mat. Ital.
Volume: (8)
Number: 7 - B
Pages: 129-157
Year: 2004
Abstract:
We prove regularity
results for real valued minimizers of the integral functional
$\int f(x,u,Du)$ under non-standard growth conditions of
$p(x)$-type, i.e.
$$
L{-1}
z
{p(x)}\leq f(x,s,z) \leq L(1+
z
{p(x)})
$$
under sharp assumptions on the continuous function $p(x) >1.$
Keywords: Non standard growth, Hölder continuity
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