2 papers
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*} -Δu-uΔ(u^2)+λu=τ|…