3 papers
math.AP2026
On a Weiss-type Almost Monotonicity Formula
Aelson Sobral
We establish a Weiss-type almost-monotonicity formula for a broad class of variable-coefficient energy functionals, assuming only minimal regularity of the coefficients. As an appl…
math.AP2025
Keller-Osserman and Harnack type results for nonlinear elliptic PDE with unbounded ingredients
Boyan Sirakov, Aelson Sobral
We show that the classical Keller-Osserman theorem on the solvability of the equation is valid when is a general operator in divergence form w…
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…