3 papers
math.AP2023
Schauder and Calderón-Zygmund type estimates for fully nonlinear parabolic equations under "small ellipticity aperture" and applications
João Vitor da Silva, Makson S. Santos
In this manuscript, we derive Schauder estimates for viscosity solutions to non-convex fully nonlinear second-order parabolic equations \[ \partial_t u - F(x, t,D^2u) = f (x, t) \q…
math.AP2023
Sharp regularity estimates for a singular inhomogeneous (m, p)-Laplacian equation
Pêdra D. S. Andrade, João Vitor da Silva, Giane C. Rampasso +1
In this paper, we investigate a class of doubly nonlinear evolutions PDEs. We establish sharp regularity for the solutions in Hölder spaces. The proof is based on the geometric tan…
math.AP2023
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy
Pêdra D. S. Andrade, Disson S. dos Prazeres, Makson S. Santos
We investigate the regularity of the solutions for a class of degenerate/singular fully nonlinear nonlocal equations. In the degenerate scenario, we establish that there exists at…