2 papers
math.AP2026
The two-phase Alt-Phillips problem for quasilinear operators
Yousef Alamri, José Miguel Urbano
We establish interior regularity and optimal growth estimates for sign-changing minimizers of the singular or degenerate quasilinear Alt--Phillips functional throughout the…
math.AP2025
Aggregation-Confinement-Diffusion Evolutions with Saturation: Regularity and Long-Time Asymptotics
Yousef Alamri
We establish Hölder regularity for the weak solution to a degenerate diffusion equation in the presence of a local (drift) potential and nonlocal (interaction) term, posed in a bo…