supported by National Key R&D Program of China(Grant No.2022YFA1005500);National Natural Science Foundation of China(Grant Nos.12031017 and 11971424)。
Given a compact Riemannian manifold M and an open interval I in R,we consider a warped product manifold M=I×φM.For a positive function f defined on M,we obtain the existence of the(η,k)-convex hypersurfaceΣwhich s...
supported by the National Key R&D Program of China(2022YFE0118400);the National Natural Science Foundation of China(6217520);the Science and Technology Project of Fujian Province of China(2021H6018);the Natural Science Foundation of Fujian Province of China(2021J06009)。
Flexible perovskite solar cells(fPSCs)have demonstrated commercial viability because of their promising lightness,flexibility,and low-cost advantages.However,in most applications,the fPSCs suffer from constant externa...
supported by the Natural Science Foundation of Sichuan(No.2023NSFSC0073)。
In this paper,we investigate the following fractional Schrödinger-Poisson system with concave-convex nonlinearities and a steep potential well{(-Δ)^(s)u+V_(λ)(x)u+ϕu=f(x)|u|^(q-2)u+|u|^(p-2)u,in R^(3),(-Δ)^(t)ϕ=u^(...
supported by the National Key Research and Development Program of China(Grant Nos.2022YFA1604200 and 2022YFB4601101);the Beijing Municipal Commission of Science and Technology(Grant No.Z231100006623006);the Beijing Natural Science Foundation(Grant No.JQ21019);the National Natural Science Foundation of China(Grant Nos.12034020,11975001,12075034,and 12261131495)。
By combining a concave-convex multi-pass cavity with solid-state nonlinear media for spectral broadening and a post-compression grating setup,we generated femtosecond pulses with high peak power density.Compared to th...
supported in part by the National Natural Science Foundation of China(No.52307091);in part by the Natural Science Foundation of Jiangsu Province(No.BK20230952);in part by the China Postdoctoral Science Foundation(No.2023M740976);in part by the Start Up Grant of City University of Hong Kong(No.9380163)。
Photovoltaic(PV)inverter,as a promising voltage/var control(VVC)resource,can supply flexible reactive power to reduce microgrid power loss and regulate bus voltage.Meanwhile,active power plays a significant role in mi...
An H-polygon is a polygon with corners in the set of vertices of a tiling of R~2 by regular hexagons of unit edge.It is known that any H-triangle with exactly k interior H-points can have at most 3k+7 boundary H-point...
financially supported by the National Natural Science Foundation of China(Grant No.52088102);New Cornerstone Science Foundation through the XPLORER PRIZE.
Floating breakwaters(FBs)are commonly employed for the protection of coastal installations.In this work,a convextype floating breakwater(FB)is proposed,and its hydrodynamic characteristics are studied through systemat...
supported by the National Natural Science Foundation of China(11801257).
In this paper,we introduce a new directional derivative and subgradient of set-valued mappings by using a nonlinear scalarizing function.We obtain some properties of directional derivative and subgradient for cone-con...
supported by Shandong Provincial NSF(ZR2022MA020).
We consider the singular Dirichlet problem for the Monge-Ampère type equation■=0,whereΩis a strictly convex and bounded smooth domain in■is positive and strictly decreasing in(0,∞)with■is positive inΩ.We obtain...
Supported by National Natural Science Foundation of China(12171260).
In this paper,we consider generalized Christo®el-Minkowski problems as followsσ_(k)(u_(ij)+uδ_(ij))/σ_(l)(u_(ij)+uδ_(ij))=|u^(p-1)f(x),x∈S^(n),where 0≤l≤k≤n,p-1>0 and f is positive,and we establish the weighte...