Eduardo V. Teixeira

collaborators

3 papers

math.FA2026

Polynomial growth of complex polynomial Bohnenblust--Hille constants

Daniel M. Pellegrino, Eduardo V. Teixeira

For an $m$ -homogeneous polynomial on $C^{n}$ , let $D_{m, n}$ denote the optimal constant in the complex polynomial Bohnenblust--Hille inequality, and set $D_m:=\sup_{n\ge1}D_{…

math.AP2026

Uniform Lipschitz regularity for two-phase singularly perturbed fully nonlinear elliptic equations

Thialita M. Nascimento, Aelson Sobral, Eduardo V. Teixeira

We study sign-changing viscosity solutions of the singularly perturbed fully nonlinear equation $$ F(D^2u_\varepsilon) = \fracα{\varepsilon} β\left(\frac{u_\varepsilon}{\varepsilon…

math.AP2022

$C^{1}$ -regularity for degenerate diffusion equations

Pêdra Andrade, Daniel Pellegrino, Edgard A. Pimentel +1

We prove that any solution of a degenerate elliptic PDE is of class $C^{1}$ , provided the inverse of the equation's degeneracy law satisfies an integrability criterium, viz. $σ^{-1}…

Polynomial growth of complex polynomial Bohnenblust--Hille constants

Uniform Lipschitz regularity for two-phase singularly perturbed fully nonlinear elliptic equations

C1-regularity for degenerate diffusion equations

$C^{1}$ -regularity for degenerate diffusion equations