activity
20162024
most citedThe existence of positive least energy solutions for a class of Schrodinger-Poisson systems involving critical nonlocal term with general nonlinearity

2 citations · 5 across the 10 of their papers we have counts for

collaborators

10 papers

math.AP2024

Generalized Chern-Simons-Schrodinger system with critical exponential growth: the zero mass case

Liejun Shen, Marco Squassina

We consider the existence of ground state solutions for a class of zero-mass Chern-Simons-Schrödinger systems \[ \left\{ \begin{array}{ll} \displaystyle -Δu +A_0 u+\sum\limits_{j=1…

math.AP2024★ 2 cited

Existence and concentration of normalized solutions for -Laplacian equations with logarithmic nonlinearity

Liejun Shen, Marco Squassina

We investigate the existence and concentration of normalized solutions for a -Laplacian problem with logarithmic nonlinearity of type \[ \left\{ \begin{array}{ll} \displaystyle…

math.AP2024

Infinitely many solutions for a class of fractional Schrodinger equations coupled with neutral scalar field

Liejun Shen, Marco Squassina, Xiaoyu Zeng

We study the fractional Schrödinger equations coupled with a neutral scalar field $$ (-Δ)^s u+V(x)u=K(x)ϕu +g(x)|u|^{q-2}u, \quad x\in \mathbb{R}^3,\qquad (I-Δ)^t ϕ=K(x)u^2, \quad…

math.AP2024

Planar Schrödinger-Poisson system with steep potential well: supercritical exponential case

Liejun Shen, Marco Squassina

We study a class of planar Schrödinger-Poisson systems where is a parameter, $V\in…

math.AP2024

Normalized solutions to the Chern-Simons-Schrödinger system: the supercritical case

Liejun Shen, Marco Squassina

We are concerned with the existence of normalized solutions for a class of generalized Chern-Simons-Schrödinger type problems with supercritical exponential growth $$ -Δu +λu+A_0 u…

math.AP2021

Critical gauged Schrödinger equations in R^2 with vanishing potentials

Liejun Shen, Marco Squassina, Minbo Yang

We study a class of gauged nonlinear Schrödinger equations in the plane. We obtain existence of two nontrivial solutions via the Mountain-Pass theorem and Ekeland's variational pri…