2 papers
math.AP2026
Nonlinear Schrödinger equations with critical Hardy potential and Choquard nonlinearity
Phuoc-Tai Nguyen, Tuan Dat Tran
We study the Cauchy problem for the nonlinear Schrödinger equation characterized by contrasting effects between the concentration at the origin of a critical Hardy potential and t…
math.CO2025
Variants of VC dimension and their applications to dynamics
Guorong Gao, Jie Ma, Mingyuan Rong +1
Since its introduction by Vapnik and Chervonenkis in the 1960s, the VC dimension and its variants have played a central role in numerous fields. In this paper, we investigate sever…