1 citations · 1 across the 9 of their papers we have counts for
9 papers
Interacting free boundaries in obstacle problems
Damião J. Araújo, Rafayel Teymurazyan
We study obstacle problems governed by two distinct types of diffusion operators involving interacting free boundaries. We obtain a somewhat surprising coupling property, leading t…
Fully nonlinear free boundary problems: optimal boundary regularity beyond convexity
Damião J. Araújo, Andreas Minne, Edgard A. Pimentel
We study a general class of elliptic free boundary problems equipped with a Dirichlet boundary condition. Our primary result establishes an optimal -regularity estimate fo…
Oscillatory free boundary problems in stochastic materials
Damião J. Araújo, Ginaldo S. Sá, Eduardo V. Teixeira +1
We investigate a class of free boundary problems with oscillatory singularities within stochastic materials. Our main result yields sharp regularity estimates along the free bounda…
Geometric properties of free boundaries in degenerate quenching problems
Damião J. Araújo, Rafayel Teymurazyan, José Miguel Urbano
We study minimizers of non-differentiable functionals modeled on the degenerate quenching problem. Our main result establishes the finiteness of the dimensional Hausdorff m…
Regularity in diffusion models with gradient activation
Damião Araújo, Aelson Sobral, Eduardo V. Teixeira
We prove sharp regularity estimates for solutions of highly degenerate fully nonlinear elliptic equations. These are free boundary models in which a nonlinear diffusion process dri…
On free boundary problems shaped by varying singularities
Damião Araújo, Aelson Sobral, Eduardo V. Teixeira +1
We start the investigation of free boundary variational models featuring varying singularities. The theory depends strongly on the nature of the singular power and how it ch…
On splitting complete manifolds via infinity harmonic functions
Damião J. Araújo, Marco Magliaro, Luciano Mari +1
In this paper, we prove some splitting results for manifolds supporting a non-constant infinity harmonic function which has at most linear growth on one side. Manifolds with non-ne…
On fractional quasilinear equations with elliptic degeneracy
Damião J. Araújo, Disson dos Prazeres, Erwin Topp
In this work, we present a systematic approach to investigate the existence, multiplicity, and local gradient regularity of solutions for nonlocal quasilinear equations with local…
Sharp regularity for a singular fully nonlinear parabolic free boundary problem
Damião J. Araújo, Ginaldo S. Sá, José Miguel Urbano
This paper establishes sharp local regularity estimates for viscosity solutions of fully nonlinear parabolic free boundary problems with singular absorption terms. The main difficu…