4 papers · 1 filter
Multiplicity and Nonrelativistic limit of Bound States of Nonlinear Dirac Equations on Noncompact Metric Graphs with Localized Nonlinearities
Pan Chen, Qi Guo
In this paper, we investigate the multiplicity of normalized solutions to a nonlinear Dirac equation with localized nonlinearities on noncompact metric graphs under the \(L^2\)-con…
Existence and nonrelativistic limit of ground states to nonlinear Dirac equation
Pan Chen, Yanheng Ding, Qi Guo
This paper explores the existence and properties of ground states, including both energy and action ground states, for nonlinear Dirac equations with power-type potentials. \begin{…
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}…
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…