Marcelo D. Amaral

collaborators

2 papers

math.AP2025

Intrinsic Scalings with Non-standard Growth

M. D. Amaral, J. G. Araújo

In this work, we investigate quantitative regularity estimates for degenerate parabolic partial differential equations, with a focus on Orlicz-type diffusive structures. Using a ge…

math.AP2018

Sharp regularity estimates for quasilinear evolution equations

Marcelo D. Amaral, João Vítor da Silva, Gleydson C. Ricarte +1

We establish sharp geometric $C^{1 + α}$ regularity estimates for bounded weak solutions of evolution equations of $p$ -Laplacian type. Our approach is based on geometric tangential m…