most citedInfinitely Many Weak Solutions for Fractional Dirichlet Problem with -Laplacian

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.AP2022

Semiclassical states for coupled nonlinear Schrödinger equations with a critical frequency

Taiyong Chen, Yahui Jiang, Marco Squassina +1

In this paper, we are concerned with the coupled nonlinear Schrödinger system \begin{align*} \begin{cases} -\varepsilon^{2}Δu+a(x)u=μ_{1}u^{3}+βv^{2}u \ \ \ \ \mbox{in}\ \mathbb{R}…

math.AP2022

Ground states of Schrödinger systems with Chern-Simons gauge fields

Yahui Jiang, Taiyong Chen, Jianjun Zhang +2

We are concerned with the study of existence of nontrivial ground states solutions for of Schrödinger systems with Chern-Simons gauge fields.

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…

math.CA2016

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…

math.SP2016

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…

math.CA2016★ 1 cited

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…