Qi Guo

collaborators

3 papers

math.AP2023

Nonrelativistic Limit of Normalized Solutions to a class of nonlinear Dirac equations

Pan Chen, Yanheng Ding, Qi Guo +1

In this paper, we investigate the nonrelativistic limit of normalized solutions to a nonlinear Dirac equation as given below: \begin{equation*} \begin{cases} &-i c\sum\limits_{k=1}…

math.AP2023

Gradient estimates for positive weak solution to $Δ_{p} u + a u^{σ} = 0$ on Riemannian manifolds

Guangyue Huang, Qi Guo, Lujun Guo

In this paper, we study gradient estimates for positive weak solutions to the following $p$ -Laplacian equation $Δ_{p} u + a u^{σ} = 0$ on a Riemannian manifold, where $p > 1$ and $a, σ$ are t…

math.AP2022

Normalized Solutions to the mixed fractional Schrodinger equations with potential and general nonlinear term

Anouar Bahrouni, Qi Guo, Hichem Hajaiej

The purpose of this paper is to establish the existence of solutions with prescribed norm to a class of nonlinear equations involving the mixed fractional Laplacians. This type of…

Nonrelativistic Limit of Normalized Solutions to a class of nonlinear Dirac equations

Gradient estimates for positive weak solution to Δp​u+auσ=0 on Riemannian manifolds

Normalized Solutions to the mixed fractional Schrodinger equations with potential and general nonlinear term

Gradient estimates for positive weak solution to $Δ_{p} u + a u^{σ} = 0$ on Riemannian manifolds