6 papers · 1 filter
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…
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…