2 citations · 2 across the 12 of their papers we have counts for
13 papers
Calderón-Zygmund estimates for parabolic systems with -growth and non-divergence data
Pêdra Andrade, Kristian Moring
We obtain Calderón--Zygmund estimates for weak solutions to nonlinear parabolic systems with polynomial -growth and the right-hand side in non-divergence form. Our approach does…
Calderón-Zygmund estimates for parabolic -Laplacian systems with non-divergence form right-hand sides
Pêdra Andrade, Verena Bögelein, Frank Duzaar +1
We establish local Calderón-Zygmund type estimates for weak solutions to nonlinear parabolic systems with -growth and VMO coefficients. In particular, we prove that if the right…
Boundary estimates for parabolic non-divergence equations in domains
Pêdra D. S. Andrade, Clara Torres-Latorre
We obtain boundary nondegeneracy and regularity estimates for solutions to non-divergence form parabolic equations in parabolic domains, providing explicit moduli of continui…
Optimal regularity for degenerate elliptic equations with Hamiltonian terms
Pêdra D. S. Andrade, Thialita M. Nascimento
We establish optimal, quantitative Höder estimates for the gradient of solutions to a class of degenerate elliptic equations with Hamiltonian terms. The presence of such lower-orde…
Interior regularity estimates for fully nonlinear equations with arbitrary nonhomogeneous degeneracy laws
Pêdra D. S. Andrade, Thialita M. Nascimento
In this paper, we study regularity estimates for a class of degenerate, fully nonlinear elliptic equations with arbitrary nonhomogeneous degeneracy laws. We establish that viscosit…
Spectral partition problems with volume and inclusion constraints
Pêdra D. S. Andrade, Ederson Moreira dos Santos, Makson S. Santos +1
In this paper, we discuss a class of spectral partition problems with a measure constraint, for partitions of a given bounded connected open set. We establish the existence of an o…
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…
Two-phase free boundary problems for a class of fully nonlinear double-divergence systems
Pêdra D. S. Andrade, Julio C. Correa
In this article, we study a class of fully nonlinear double-divergence systems with free boundaries associated with a minimization problem. The variational structure of Hessian-dep…
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…
-regularity for degenerate diffusion equations
Pêdra Andrade, Daniel Pellegrino, Edgard A. Pimentel +1
We prove that any solution of a degenerate elliptic PDE is of class , provided the inverse of the equation's degeneracy law satisfies an integrability criterium, viz. $σ^{-1}…
Improved regularity for the parabolic normalized p-Laplace equation
Pêdra D. S. Andrade, Makson S. Santos
We derive regularity estimates for viscosity solutions to the parabolic normalized p-Laplace. By using approximation methods and scaling arguments for the normalized p-parabolic op…
Stationary fully nonlinear mean-field games
Pêdra D. S. Andrade, Edgard A. Pimentel
In this paper we examine fully nonlinear mean-field games associated with a minimization problem. The variational setting is driven by a functional depending on its argument throug…
Geometric regularity theory for a time-dependent Isaacs equation
Pêdra D. S. Andrade, Giane C. Rampasso, Makson S. Santos
The purpose of this work is to produce a regularity theory for a class of parabolic Isaacs equations. Our techniques are based on approximation methods which allow us to connect ou…