2 papers
math.AP2025
On free boundary problems shaped by varying singularities
Damião Araújo, Aelson Sobral, Eduardo V. Teixeira +1
We start the investigation of free boundary variational models featuring varying singularities. The theory depends strongly on the nature of the singular power and how it c…
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…