47 citations · 128 across the 30 of their papers we have counts for
38 papers
An -theory for -Schrödinger equations with confinement in measure
Nuno J. Alves, José Miguel Urbano
We consider stationary -Schrödinger equations on the whole space with integrable data and potentials that are confining in measure. We introduce asymptotic energy solutions in a…
The two-phase Alt-Phillips problem for quasilinear operators
Yousef Alamri, José Miguel Urbano
We establish interior regularity and growth estimates for the sign-changing minimizers of the singular or degenerate quasilinear Alt--Phillips functional throughout the ful…
Fractional -caloric functions are Lipschitz
David Jesus, Aelson Sobral, José Miguel Urbano
We study the parabolic fractional Laplace equation in the degenerate range . We show that weak solutions are Lipschitz continuous…
Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces
Giuseppe Di Fazio, Rafayel Teymurazyan, José Miguel Urbano
We establish sharp local -regularity for weak solutions to degenerate elliptic equations of -Laplacian type with data in Morrey spaces. The proof relies on the Fefferma…
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…
Improved regularity for a nonlocal dead-core problem
Disson dos Prazeres, Rafayel Teymurazyan, José Miguel Urbano
We obtain improved regularity results for solutions to a nonlocal dead-core problem at branching points. Our approach, which does not rely on the maximum principle, introduces a ne…