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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 regularity estimates for bounded weak solutions of evolution equations of -Laplacian type. Our approach is based on geometric tangential m…
math.AP2015★ 18 cited
Free transmission problems
Marcelo Amaral, Eduardo V. Teixeira
We study transmission problems with free interfaces from one random medium to another. Solutions are required to solve distinct partial differential equations, $\mbox{L}_{+}$ and $…