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math.AP2021
Normalized ground states for the critical fractional NLS equation with a perturbation
Maoding Zhen, Binlin Zhang
In this paper, we study normalized ground states for the following critical fractional NLS equation with prescribed mass: \begin{equation*} \begin{cases} (-Δ)^{s}u=λu +μ|u|^{q-2}u+…
math.AP2018
Positive ground state solutions for fractional Laplacian system with one critical exponent and one subcritical exponent
Maoding Zhen, Jinchun He, Haoyuan Xu +1
In this paper, we consider the following fractional Laplacian system with one critical exponent and one subcritical exponent \begin{equation*} \begin{cases} (-Δ)^{s}u+μu=|u|^{p-1}u…
math.AP2017
The Nehari manifold for fractional p-Laplacian system involving concave-convex nonlinearities and sign-changing weight functions
Maoding Zhen
In this paper, we consider a fractional p-Laplacian system with both concave-convex nonlinearities and sign-changing weight functions in bounded domains. With the help of the Nehar…