3 papers
math.AP2025
Uniqueness of Positive Solutions for Fractional Schrödinger Equations with General Nonlinearities
Xinyu Li, Linjie Song
In 2013, R.L. Frank and E. Lenzmann [R.L. Frank, E. Lenzmann, Uniqueness of non-linear ground states for fractional Laplacians in , Acta Math. 210 (2) (2013) 261-318] s…
math.RT2024
On the minimal parabolic induction
Xinyu Li
Motivated by Beilinson-Bernstein's proof of the Jantzen conjectures, we define the minimal parabolic induction functor for Kac-Moody algebras, and establish some basic properties.…
math.AP2024
The existence of solutions for a Schrodinger equation with jumping nonlinearities crossing the essential spectrum
Chong Li, Xinyu Li
In this paper, we establish the existence of one solution for a Schrödinger equation with jumping nonlinearities: , , and , $|x|\…