morse index 1mountain pass 1neumann boundary conditions 1normalized solutions 1schrödinger systems 1variational methods 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
Normalized solutions for a class of gradient-type Schrödinger systems under Neumann boundary conditions in bounded domains
Xiaojun Chang, Yuxin Li, Yohei Sato +1
The paper proves the existence of nontrivial normalized solutions for a coupled gradient-type Schrödinger system with Neumann boundary conditions in a bounded three‑dimensional dom…
math.AP2026
Weak Harnack inequality and Cartan property for nonlocal -minimizers
Panu Lahti, Yuxin Li, Khanh Nguyen
We establish a weak Harnack inequality for nonlocal -subminimizers in a complete, connected, doubling metric measure space where . As a corollary, we prove that $W^…
math.AP2025
Normalized solutions for a Sobolev critical quasilinear Schrödinger equation
Yuxin Li, Meijie Yang, Xiaojun Chang
In this paper, we study the existence of normalized solutions for the following quasilinear Schrödinger equation with Sobolev critical exponent: \begin{eqnarray*} -Îu-uÎ(u^2)+λ…