Eduardo V. Teixeira

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math.AP2025

On free boundary problems shaped by varying singularities

DamiÃ£o AraÃºjo, 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 $I^^{3} (x)$ and how it c…

math.AP2025

Borderline regularity in singular free boundary problems

DamiÃ£o J. AraÃºjo, 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 $I ¨ $ . When $I ¨ $ is merely bounded…

math.AP2024

Regularity and nondegeneracy for nonlocal Bernoulli problems with variable kernels

Stanley Snelson, Eduardo V. Teixeira

We consider a generalization of the Bernoulli free boundary problem where the underlying differential operator is a nonlocal, non-translation-invariant elliptic operator of order $…