Qi Guo

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20222026

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Showing 2023 · math.APShow all

3 papers · 2 filters

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

Existence and Multiplicity of Normalized Solutions for Dirac Equations with non-autonomous nonlinearities

Anouar Bahrouni, Qi Guo, Hichem Hajaiej +1

In this paper, we study the following nonlinear Dirac equations \begin{align*} \begin{cases} -i\sum\limits_{k=1}^3α_k\partial_k u+mβu=f(x,|u|)u+ωu, \displaystyle \int_{\mathbb{R}^3…

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…

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

Existence and Multiplicity of Normalized Solutions for Dirac Equations with non-autonomous nonlinearities

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

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