6 papers
Strong maximum principle for fully nonlinear nonlocal problems
Juan Pablo Cabeza, Gabrielle Nornberg, Disson dos Prazeres
In this paper, we study solvability and qualitative properties of nonnegative solutions for a sublinear nonlocal problem with fully nonlinear structure in the form $$ \mathcal{M}^{…
A two-phase quenching-type problem for the p-Laplacian
Julio C. Correa, Disson dos Prazeres
We study minimizers of non-differentiable functionals of the Alp-Phillips type with two-phases for the -Laplacian , focusing on the geometric and analytical properties of free b…
Improved regularity for a nonlocal dead-core problem
Disson dos Prazeres, Rafayel Teymurazyan, José Miguel Urbano
We obtain improved regularity results for solutions to a nonlocal dead-core problem at branching points. Our approach, which does not rely on the maximum principle, introduces a ne…
Sharp and improved regularity estimates for weighted quasilinear elliptic equations of Laplacian type and applications
João Vitor da Silva, Disson dos Prazeres, Gleydson Ricarte +1
In this manuscript, we obtain sharp and improved regularity estimates for weak solutions of weighted quasilinear elliptic models of Hardy-Hénon-type, featuring an explicit regulari…
A note on the density of the partial regularity result in the class of viscosity solutions
Disson dos Prazeres, Edgard A. Pimentel, Giane C. Rampasso
We establish the density of the partial regularity result in the class of continuous viscosity solutions. Given a fully nonlinear equation, we prove the existence of a sequence ent…
Interior regularity results for fractional elliptic equations that degenerate with the gradient
Disson Dos Prazeres, Erwin Topp
In this paper we obtain interior regularity estimates for viscosity solutions of nonlocal Dirichlet problems that degenerate when the gradient of the solution vanishes. Interior Hö…