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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.AP2025
Borderline regularity in singular free boundary problems
Damião J. Araújo, Aelson Sobral, Eduardo V. Teixeira +1
In this paper, we investigate the borderline regularity of local minimizers of energy functionals under minimal assumptions on the potential term . When is merely bounded an…
math.AP2009
A limiting free boundary problem ruled by Aronsson's equation
J. D. Rossi, E. V. Teixeira
We study the behavior of -Dirichlet optimal design problem with volume constraint for large. As the limit as goes to infinity, we find a limiting free boundary problem g…