Local Hölder regularity of gradients for evolutional <Emphasis Type="Italic">p</Emphasis>-Laplacian systems

We study a H?lder regularity of gradients for evolutional p-Laplacian systems with H?lder continuous coefficients and exterior force. We use the perturbation argument with the p-Laplacian systems with constant coefficients and only principal terms. The main task is to make the H?lder estimate of gradients for the systems above well-worked in the perturbation estimate. We also need to make a localization of the H?lder estimate in 2]. Received: June 25, 2001?Published online: July 9, 2002 Dedicated to Professor Norio Kikuchi on his sixtieth birthday This research was partially supported by the Grant-in-Aid for Encouragement of Young Scientists No. 12740102 at the Ministry of Educations, Science, Sports and Culture.