9 papers
Geometric approaches for improved regularity in fully nonlinear parabolic models
Junior da Silva Bessa, João Vitor da Silva, Mayra Soares
In this paper, we derive improved estimates for a class of fully nonlinear parabolic equations with continuous drift and admissible source terms of the form $$ \partial_{t}u - F(D^…
Comparison Principle, A.B.P.-type estimates for solutions of quasi-linear elliptic equations in non-divergence form and some implications
Junior da S. Bessa, Reshmi Biswas, João Vitor da Silva +2
In this work, we establish global gradient estimates to solutions of quasilinear elliptic models in non-divergence form with general degeneracy law and a Hamiltonian term, given by…
Regularity estimates for quasilinear elliptic PDEs in non-divergence form with Hamiltonian terms and applications
Junior da Silva Bessa, João Vitor da Silva
In this manuscript, we investigate regularity estimates for a class of quasilinear elliptic equations in the non-divergence form that may exhibit degenerate behavior at critical po…
Higher regularity estimates for solutions to -Laplacian-type models
João Vitor da Silva, Makson S. Santos, Mayra Soares
In this work, we tackle the higher regularity estimates of solutions to inhomogeneous Laplacian equations at interior critical points. Our estimates provide smoothness pro…
Geometric regularity estimates for quasi-linear elliptic models in non-divergence form with strong absorption
Claudemir Alcantara, João Vitor da Silva, Ginaldo Sá
In this manuscript, we investigate geometric regularity estimates for problems governed by quasi-linear elliptic models in non-divergence form, which may exhibit either degenerate…
Regularity estimates to quasi-linear parabolic equations in non-divergence form with non-homogeneous signature
Junior da Silva Bessa, João Vitor da Silva, Ginaldo de Santana Sá
In this manuscript, we establish the existence and sharp geometric regularity estimates for bounded solutions of a class of quasilinear parabolic equations in non-divergence form w…
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…
Rigidity of free boundary minimal disks in mean convex three-manifolds
Rondinelle Batista, Barnabé Lima, João Silva
The purpose of this article is study rigidity of free boundary minimal two-disks that locally maximize the modified Hawking mass on a Riemannian three-manifold with positive lower…
A limiting free boundary problem with gradient constraint and Tug-of-War games
Pablo Blanc, João Vítor da Silva, Julio D. Rossi
In this manuscript we deal with regularity issues and the asymptotic behaviour (as ) of solutions for elliptic free boundary problems of Laplacian type ($2 \leq p…