| Issue |
ESAIM: COCV
Volume 9, February 2003
|
|
|---|---|---|
| Page(s) | 399 - 418 | |
| DOI | https://doi.org/10.1051/cocv:2003019 | |
| Published online | 15 September 2003 | |
Everywhere regularity for vectorial functionals with general growth
Dipartimento di Matematica “U. Dini”, Universita' di Firenze,
viale Morgagni 67/A, 50134 Firenze, Italy; mascolo@math.unifi.it.
Received:
4
September
2001
We prove Lipschitz continuity for local
minimizers of integral functionals of the Calculus of Variations
in the vectorial case, where the energy density depends explicitly
on the space variables and has general growth with respect to the
gradient. One of the models is
with h a convex function with general growth (also exponential behaviour
is allowed).
Mathematics Subject Classification: 49N60 / 35J50
Key words: Minimizers / regularity / nonstandard growth / exponential growth.
© EDP Sciences, SMAI, 2003
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