Abstract.
We study a Hölder regularity of gradients for evolutional p-Laplacian systems with Hölder 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 Hölder estimate of gradients for the systems above well-worked in the perturbation estimate. We also need to make a localization of the Hölder estimate in [2].
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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.
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Misawa, M. Local Hölder regularity of gradients for evolutional p-Laplacian systems. Ann. Mat. Pura Appl. IV. Ser. 181, 389–405 (2002). https://doi.org/10.1007/s102310100044
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DOI: https://doi.org/10.1007/s102310100044