10 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^…
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators
João Pedro Breveglieri da Silva, Dmitri Vassilevich
If an operator anticommutes with a chirality operator such that , the null space of can be decomposed in a direct sum of two spaces having positive and neg…
Regularity for fully nonlinear degenerate parabolic equations with strong absorption
João Vitor da Silva, João Vitor da Silva, Feida Jiang +1
In this paper, we investigate dead-core problems for fully nonlinear degenerate parabolic equations with strong absorption, \begin{equation*} |Du|^{p} F(D^{2}u) - u_{t} = λ_{0}(x,t…
Lipschitz regularity of weakly coupled vectorial almost-minimizers for Alt-Caffarelli functionals in Orlicz spaces
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 variationa…
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 variationa…
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…