Eduardo V. Teixeira

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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}…

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