| Abstract: |
| Is showed a problem studied in cooperation with Professor Atsushi Tachikawa.
We treat the regularity problem for minimizers u(x) of quadratic and nonquadratic growth functional
having integrand A(x, u, Du).
We point out that concerning the dependence on the variable x is assumed only that A(x,u, p) is in the class of Vanishing Mean Oscillation class, as a function of x.
Namely, is not assumed the continuity of A(x, u, p) with respect to x.
Are treated partial regularity and global regularity of the minimizer u. |
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