简介：本文在Lp（1≤P〈＋∞）空间上，研究了种群细胞增生中一类具扰动项的L—R模型，证明了这类模型相应的迁移算子生成半群的Dyson—Phillips展式的9阶余项R9（t）在L1空间上是弱紧和在Lp（1〈P〈＋∞）空间上是紧的，从而获得了该迁移算子的谱在右半平面上仅由有限个具有限代数重数的离散本征值组成及该迁移方程解的渐近稳定性等结果．

简介：Anumbilicalfreeorientedhypersurfacex:M→Rnwithnon-zeroprincipalcurvaturesiscalledaLaguerreisoparametrichypersurfaceifitsLaguerreformC=iCiωi=iρ1(Ei(logρ)(rri)Ei(r))ωivanishesandLaguerreshapeoperatorS=ρ1(S1rid)hasconstanteigenvalues.Hereρ=i(rri)2,r=r1+r2+···+rn1n1isthemeancurvatureradiusandSistheshapeoperatorofx.{Ei}isalocalbasisforLaguerremetricg=ρ2IIIwithdualbasis{ωi}andIIIisthethirdfundamentalformofx.Inthispaper,weclassifyallLaguerreisoparametrichypersurfacesinRn(n>3)withtwodistinctnon-zeroprincipalcurvaturesuptoLaguerretransformations.

简介：Letuk(2,r)bealittleq-Schuralgebraoverk,wherekisafieldcontaininganl-thprimitiverootεof1withl≥4even,theauthorconstructsacertainmonomialbaseforlittleq-Schuralgebrauk(2,r).

简介：研究了—（p,q）-Laplacian拟线性椭圆方程组.当连续函数V和W在两种情形下,利用Moser迭代技巧和Ljusternik-Schnirelmann畴数理论,建立了方程组正解的存在性和多重性结果.