BOUNDARY GROWTH OF SOBOLEV FUNCTIONSFOR DOUBLE PHASE FUNCTIONALS

摘要

We study growth properties of spherical means of Sobolev functions for the double phase functional p,q(x,t) = tp + (b(x)t)q in the unit ball B of Rn, where 1 p q b is a non-negative bounded function on B which is H?lder continuous of order (0,1].