2 papers
math.AP2026
On a nonlocal superconductivity problem
Damião J. Araújo, Aelson Sobral
This paper investigates degenerate nonlocal free boundary problems arising in the context of superconductivity, extending the nonlocal counterpart to the work of Caffarelli, Salaza…
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…