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- Liejun Shen, Xiaohua Yao
- 2018

In this paper, the existence of a nontrivial least energy solution is considered for the nonlinear fractional Schrodinger-Poisson systems (−Δ)su + V(x)u + ϕu = |u|p−1u and (−Δ)tϕ = u2 in R3, where… (More)

- Liejun Shen
- Journal of inequalities and applications
- 2018

AbstractThe present study is concerned with the following fractional p-Laplacian equation involving a critical Sobolev exponent of Kirchhoff type:
… (More)

We develop a statistical model using extreme value theory to estimate the 2000–2050 changes in ozone episodes across the United States. We model the relationships between daily maximum temperature… (More)

- Liejun Shen
- 2019

Abstract This paper is concerned with the fractional coupled Schrodinger system. By using the Nehari manifold and fibering map, we obtain the multiplicity and concentration of solutions for the given… (More)

- Liejun Shen
- 2018

- Liejun Shen
- Computers & Mathematics with Applications
- 2018

Abstract In this paper, we are concerned with the following quasilinear elliptic problems of Kirchhoff type: [ a + b ( ∫ R N | ∇ u | p − μ | u | p | x | p d x ) θ − 1 ] ( − Δ p u − μ | u | p − 2 u |… (More)

Multiple positive solutions for a class of Kirchhoff type problems involving general critical growth

- Liejun Shen, Xiaohua Yao
- 2016

In this paper, we study the following nonlinear Kirchhoff problem involving critical growth: $$ \left\{% \begin{array}{ll} -(a+b\int_{\Omega}|\nabla u|^2dx)\Delta u=|u|^4u+\lambda|u|^{q-2}u, u=0\ \… (More)

- Liejun Shen, Xiaohua Yao
- 2017

The present study is concerned with the following Schr\"{o}dinger-Poisson system involving critical nonlocal term $$ \left\{ \begin{array}{ll} -\Delta u+u-K(x)\phi |u|^3u=\lambda f(x)|u|^{q-2}u, &… (More)

- Liejun Shen, Xiaohua Yao
- 2017

The present study is concerned with the following Schrodinger-Poisson system involving critical nonlocal term with general nonlinearity: $$ \left\{ \begin{array}{ll} -\Delta u+V(x)u- \phi |u|^3u=… (More)

- Liejun Shen
- 2018

This paper is concerned with the existence of ground state solutions for a class of generalized quasilinear Schrödinger–Poisson systems in R3$\mathbb {R}^{3}$ which have appeared in plasma physics,… (More)