3 papers
math.AP2026
Normalized solutions for a nonlinear Dirac equation with an inhomogeneous nonlinearity
Hao Wang, Xiaojun Chang
We study the existence of normalized solutions for the nonlinear Dirac equation \[ \begin{cases} -i\sum\limits_{k=1}^3α_k\partial_k u + mβu - |x|^{-b}|u|^{p-2}u = μu, \quad x\in…
math.AP2026
On the radius of analyticity and Gevrey regularity for the Boltzmann equation
Wei-Xi Li, Lvqiao Liu, Hao Wang
This paper investigates the non-cutoff Boltzmann equation for hard potentials in a perturbative setting. We first establish a sharp short-time estimate on the radius of analyticity…
math.AP2025
Existence and multiplicity of normalized solutions for the quasi-linear Schrödinger equations with mixed nonlinearities
Qihan He, Hao Wang
In this paper, we study the existence and multiplicity of the normalized solutions to the following quasi-linear problem \begin{equation*} -Îu-Î(|u|^2)u+λu=|u|^{p-2}u+Ï|u|^{q-2…