4 papers · 1 filter
Normalized solutions to Schödinger equations with potential and inhomogeneous nonlinearities on large convex domains
Thomas Bartsch, Shijie Qi, Wenming Zou
The paper addresses an open problem raised in [Bartsch, Molle, Rizzi, Verzini: Normalized solutions of mass supercritical Schrödinger equations with potential, Comm. Part. Diff. Eq…
The ground state solution for Kirchhoff-Schrodinger equations with singular exponential nonlinearities in R^4
Yanjun Liu, Shijie Qi
In this paper, we consider Kirchhoff-Schrodinger equations with singular exponential nonlinearities in R^4,using singular Adams inequality and variational techniques, we get the ex…
Semiclassical states of a linearly coupled critical fractional Schrödinger system
Shijie Qi, Peihao Zhao
This paper focuses on the linearly coupled critical fractional Schrödinger system \begin{equation*} \begin{cases} ε^{2s}(-\triangle)^s u +a(x)u=u^p+λv\quad &\text{in}\ \mathbb{R}^N…
A Hopf lemma and regularity for fractional Laplacians
Wenxiong Chen, Congming Li, Shijie Qi
In this paper, we study qualitative properties of the fractional -Laplacian. Specifically, we establish a Hopf type lemma for positive weak super-solutions of the fractional $p-…