ISSN: 1314-3344
GAO Hongya, WANG Liang
We prove local regularity for minimizers of integral functionals of the form Z ⦠f(x, u, Du)dx where the integrand f(x, s, z) = f0(x, s, z)+f1(x, s, z) : â¦×R×R n → R is a Carath´eodory function, f0(x, s, z) grows like |z| p with p > 1, and |f1(x, s, z)| ≤ Ï1(x)|z|, Ï1(x) ∈ L p ′r loc (â¦), 1 < r < n p .