3 papers
math.AP2026
Carleman estimates for stationary -valued maps: a variational approach
Aria Halavati, Luca Spolaor
We prove a Carleman-type estimate for Dirichlet-stationary multivalued functions and apply it to give a different proof of the optimal dimension of the singular set of Dir-minimizi…
math.AP2026
New weighted inequalities on two-manifolds
Aria Halavati
We establish a new class of weighted Poincaré and elliptic functional inequalities on smooth two-manifolds with explicit constants, for a family of weights satisfying a diff…
math.DG2026
Min-Max Construction of Anisotropic Minimal Surfaces with Genus Bound
Antonio De Rosa, Aria Halavati, Ling Wang
We establish an anisotropic analogue of the celebrated theorem of Meeks-Simon-Yau: every minimizing sequence of surfaces within a fixed isotopy class converges to a smooth stable a…