Special Session 84: Regularity results of solutions of problems having nonstandard growth and nonuniform ellipticity
On regularity results of solutions of minimizers of systems having discontinuous coefficients
Maria Alessandra Ragusa
University of Catania
Italy
Co-Author(s):    
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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