activity
20172026
most citedGeometric regularity estimates for fully nonlinear elliptic equations with free boundaries

5 citations · 5 across the 10 of their papers we have counts for

collaborators

12 papers

math.AP2026

Boundary regularity of weakly coupled vectorial almost-minimizers for Alt-Caffarelli functionals with non-standard growth

Pedro Fellype Pontes, João Vitor da Silva, Minbo Yang

For a fixed constant and a bounded Lipschitz domain with , we establish that almost-minimizers (functions satisfying a sort of variational…

math.AP2024

Improved regularity estimates for Hardy-Hénon-type equations driven by the -Laplacian

Elzon C. Bezerra Júnior, João Vitor da Silva, Thialita M. Nascimento +1

In this work, we establish sharp and improved regularity estimates for viscosity solutions of Hardy-Hénon-type equations with possibly singular weights and strong absorption govern…

math.AP2021

Free boundary regularity for a class of one-phase problems with non-homogeneous degeneracy

João Vítor da Silva, Giane C. Rampasso, Gleydson C. Ricarte +1

We consider a one-phase free boundary problem governed by doubly degenerate fully non-linear elliptic PDEs with non-zero right hand side, which should be understood as an analog (n…

math.AP2020

Regularity estimates for fully nonlinear elliptic PDEs with general Hamiltonian terms and unbounded ingredients

João Vitor da Silva, Gabrielle Nornberg

We develop an optimal regularity theory for -viscosity solutions of fully nonlinear uniformly elliptic equations in nondivergence form whose gradient growth is described throu…

math.AP2020★ 5 cited

Geometric regularity estimates for fully nonlinear elliptic equations with free boundaries

J. V. da Silva, R. A. Leitão, G. C. Ricarte

In this manuscript we study geometric regularity estimates for problems driven by fully nonlinear elliptic operators under strong absorption conditions. We establish improved geome…

math.AP2020

Regularity for degenerate evolution equations with strong absorption

Joao da Silva, Pablo Ochoa, Analía Silva

In this manuscript, we study geometric regularity estimates for degenerate parabolic equations of -Laplacian type () under a strong absorption condition: $ Δ_p…