In this paper,we prove the existence of positive solutions to the following weighted fractional system involving distinct weighted fractional Laplacians with gradient terms:{(-△)α/2α1u1(x) =uq111 (x) + uq122 (x) + h1(x,u1(x),u2(x),▽u1(x),▽u2(x)),x ∈ Ω,(-△
We prove the global existence and exponential decay of strong solutions to the three-dimensional nonhomogeneous asymmetric fluid equations with nonnegative density pro-vided that the initial total energy is suitably small.Note that although the system deg
The precise Lp norm of a class of Forelli-Rudin type operators on the Siegel upper half space is given in this paper.The main result not only implies the upper Lp norm estimate of the Bergman projection,but also implies the precise Lp norm of the Berezin
In this paper,we establish some oscillation criteria for higher order nonlinear delay dynamic equations of the form[rnψ(… r2(r1x△)△…)△]△(t) + h(t)f(x(τ(t))) =0 on an arbitrary time scale T with supT =∞,where n ≥ 2,ψ(u) =|u|γsgn(u) for γ > 0,ri(1 ≤ i ≤ n)
We investigate the uniform regularity and zero kinematic viscosity-magnetic dif-fusion limit for the incompressible viscous magnetohydrodynamic equations with the Navier boundary conditions on the velocity and perfectly conducting conditions on the magnet
Assume that X and Y are real Banach spaces with the same finite dimension.In this paper we show that if a standard coarse isometry f :X → Y satisfies an integral con-vergence condition or weak stability on a basis,then there exists a surjective linear iso
In this paper,we give some rigidity results for complete self-shrinking surfaces properly immersed in R4 under some assumptions regarding their Gauss images.More pre-cisely,we prove that this has to be a plane,provided that the images of either Gauss map