265 citations · 275 across the 7 of their papers we have counts for
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Ground state solutions of a class of (2,q)-Laplacian Schrödinger equations with inhomogeneous nonlinearity
Ying Huang, Tingjian Luo, Youde Wang
In this paper, we systematically investigate the ground state solutions of a class of (2,q)-Laplacian Schrödinger equations with inhomogeneous nonlinearity. By analyzing global and…
On the standing waves for the X-ray free electron laser Schrödinger equation
Daomin Cao, Binhua Feng, Tingjian Luo
In this paper, we are concerned with the standing waves for the following nonlinear Schrödinger equation $$i\partial_{t}ψ=-Δψ+b^2(x_1^2+x_2^2)ψ+\frac{λ_1}{|x|}ψ+ λ_2(|\cdot|^{-1}\a…
Orbital Stability of Standing Waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions
Tingjian Luo, Shijun Zheng, Shihui Zhu
In this paper, we study the ground state standing wave solutions for the focusing bi-harmonic nonlinear Schrödinger equation with a -Laplacian term (BNLS). Such BNLS models the…
Multiple normalized solutions for quasi-linear Schrödinger equations
Louis Jeanjean, Tingjian Luo, Zhi-Qiang Wang
In this paper we prove the existence of two solutions having a prescribed -norm for a quasi-linear Schrödinger equation. One of these solutions is a mountain pass solution rel…
Multiplicity of normalized solutions for a class of nonlinear Schrodinger-Poisson-Slater equations
Tingjian Luo
In this paper, we prove a multiplicity result of solutions for the following stationary Schrödinger-Poisson-Slater equations \begin{equation}\label{eq-abstract} -Δu - λu + (\left |…
Sharp non-existence results of prescribed L^2-norm solutions for some class of Schrödinger-Poisson and quasilinear equations
Louis Jeanjean, Tingjian Luo
In this paper we study the existence of minimizers for $$ F(u) = \1/2\int_{\R^3} |\nabla u|^2 dx + 1/4\int_{\R^3}\int_{\R^3}\frac{| u(x) |^2| u(y) |^2}{| x-y |}dxdy-\frac{1}{p}\int…
Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations
Jacopo Bellazzini, Louis Jeanjean, Tingjian Luo
In this paper we study the existence and the instability of standing waves with prescribed -norm for a class of Schrödinger-Poisson-Slater equations in %orbitally sta…