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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…
math.OC2017★ 1 cited
Carleman and observability estimates for stochastic beam equation
Maoding Zhen
In this paper, we establish a weight identity for stochastic beam equation by means of the multiplier method. Based on this identity, we first establish the global Carleman estimat…
math.AP2017
Critical system involving fractional Laplacian
Maoding Zhen, Jinchun He, Haoyuan Xu
In this paper, we study the following critical system with fractional Laplacian: \begin{equation*} \begin{cases} (-Δ)^{s}u= μ_{1}|u|^{2^{\ast}-2}u+\frac{αγ}{2^{\ast}}|u|^{α-2}u|v|^…