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Sharp regularity estimates for a singular inhomogeneous (m, p)-Laplacian equation by Andrade, Pêdra D. S.; da Silva, João Vitor; Rampasso, Giane C.; Santos, Makson S. is a scholarly article available to read on EtoBox.

What is Sharp regularity estimates for a singular inhomogeneous (m, p)-Laplacian equation about?

In this paper, we investigate a class of doubly nonlinear evolutions PDEs. We establish sharp regularity for the solutions in H\"older spaces. The proof is based on the geometric tangential method and intrinsic scaling technique. Our findings extend and recover the results in the context of the classical evolution PDEs with singular signature via a unified treatment in the slow, normal and fast diffusion regimes. In addition, we provide some applications to certain nonlinear evolution models, which may have their own mathematical interest.

Author

Andrade, Pêdra D. S.; da Silva, João Vitor; Rampasso, Giane C.; Santos, Makson S.

Published

2023

Language

EN