3 papers
math.AP2016
Ground states of nonlinear fractional Schrödinger equation involving critical growth
Hua Jin, Wenbin Liu
In this paper, we are concerned with the ground state solutions of nonlinear fractional Schrödinger equation involving critical growth. Without Ambrosetti-Rabinowitz condition and…
math.AP2016
Singularly perturbed fractional Schrödinger equation involving a general critical nonlinearity
Hua Jin, Wenbin Liu, Jianjun Zhang
In this paper, we are concerned with the existence and concentration phenomena of solutions for the following singularly perturbed fractional Schrödinger problem \begin{align*} \va…
math.CA2016
Ground State Solutions of Kirchhoff-type Fractional Dirichlet Problem with -Laplacian
Taiyong Chen, Wenbin Liu, Hua Jin
We consider the Kirchhoff-type -Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, w…