Holder continuity results for a class of functionals with non standard growth

摘要

We prove regularity results for minimizers of the integral functional f(x,u,Du)dx under non-standard growth condotions of p(x)-type, i.e. L-1|x| p(x) ≤ f(x,s,z) ≤ L (1+|x| p(x)) under sharp assumptions on the continuuus function p(x)>1