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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…
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…
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…
Existence and Multiplicity of Nontrivial Weak Solutions for Kirchhoff-type Fractional -Laplacian Equation
Taiyong Chen, Wenbin Liu, Hua Jin
We discuss the Kirchhoff-type -Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the mountain pass theorem and the genus proper…
Fractional Sobolev Space and Spectral Structure of Fractional Dirichlet Boundary Value Problem
Hua Jin, Wenbin Liu, Taiyong Chen
Based on the need of studying the fractional boundary value problems by using variational methods, in this paper, we introduce a fundamental theory framework of fractional Sobolev…
Infinitely Many Weak Solutions for Fractional Dirichlet Problem with -Laplacian
Taiyong Chen, Wenbin Liu, Hua Jin
We focus on the study of -Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the genus properties in critical point theory, we e…