5 papers
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 righ…
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…
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…
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-ord…
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…