Damião J. Araújo

activity

20122020

most citedGeometric approach to nonvariational singular elliptic equations

22 citations · 31 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2020★ 9 cited

Sharp regularity for the inhomogeneous porous medium equation

Damião J. Araújo, Anderson F. Maia, José Miguel Urbano

We show that locally bounded solutions of the inhomogeneous porous medium equation $u_{t} - div (m ∣ u ∣^{m - 1} \nabla u) = f \in L^{q, r}, m > 1,$ are local…

math.AP2015

Optimal $C^{1, α}$ estimates for a class of elliptic quasilinear equations

Damiao Araujo, Lei Zhang

In this article we establish sharp $C^{1, α}$ estimates for weak solutions of singular and degenerate quasilinear elliptic equation $- d i v a (x, \nabla u) = f,$ which includes t…

math.AP2012★ 22 cited

Geometric approach to nonvariational singular elliptic equations

Damião Araújo, Eduardo V. Teixeira

In this work we develop a systematic geometric approach to study fully nonlinear elliptic equations with singular absorption terms as well as their related free boundary problems.…

Sharp regularity for the inhomogeneous porous medium equation

Optimal C1,α estimates for a class of elliptic quasilinear equations

Geometric approach to nonvariational singular elliptic equations

Optimal $C^{1, α}$ estimates for a class of elliptic quasilinear equations