most citedMultiplicity of positive solutions for a fractional Laplacian equations involving critical nonlinearity

9 citations · 21 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP2015★ 6 cited

Existence and multiplicity results for the fractional Schrodinger-Poisson systems

Jinguo Zhang

This paper is devoted to study the existence and multiplicity solutions for the nonlinear Schrödinger-Poisson systems involving fractional Laplacian operator: \begin{equation}\labe…

math.AP2015★ 9 cited

Multiplicity of positive solutions for a fractional Laplacian equations involving critical nonlinearity

Jinguo Zhang, Xiaochun Liu, Hongying Jiao

In this paper we deal with the multiplicity of positive solutions to the fractional Laplacian equation \begin{equation*} (-Δ)^{\fracα{2}} u=λf(x)|u|^{q-2}u+|u|^{2^{*}_α-2}u, \quad\…

math.AP2015★ 2 cited

Existence and concentration of solutions for a fractional Schrodinger equations with sublinear nonlinearity

Jinguo Zhang, Weifeng Jiang

This article concerns the fractional elliptic equations \begin{equation*}(-Δ)^{s}u+λV(x)u=f(u), \quad u\in H^{s}(\mathbb{R}^N), \end{equation*}where () d…

math.AP2014

Arbitrary many positive solutions for a nonlinear problem involving the fractional Laplacian

Jinguo Zhang, Xiaochun Liu

We establish the existence and multiplicity of positive solutions to the problems involving the fractional Laplacian: \begin{equation*} \left\{\begin{array}{lll} &(-Δ)^{s}u=λu^{p}+…

math.AP2014★ 3 cited

Positive solutions to some asymptotically linear fractional Schrodinger equations

Jinguo Zhang, Xiaochun Liu

This paper is devoted to prove the existence and nonexistence of positive solutions for a class of fractional Schrodinger equation in RN of the We apply a new methods to obtain the…

math.AP2014★ 1 cited

Three solutions for a fractional elliptic problems with critical and supercritical growth

Jinguo Zhang

In this paper, we deal with the existence and multiplicity of solutions for the fractional elliptic problems involving critical and supercritical Sobolev exponent via variational a…