简介：<正>Inthispaper,weapplythesolitontheorytothecaseofisometricimmersionindifferentialgeometryandobtainafamilyofisometricimmersionsfromMn1（c1）×Mn2（c2）tospaceformsMn（c）byintroducing2-parameterloopalgebra.

简介：Inthispaper,theauthorsobtaintheBaecklundtransformationontime-likesurfaceswithconstantmeancurvatureinR^2,1.Usingthistransformation,familiesofsurfaceswithconstantmeancurvaturefromknownonescanbeconstructed.

简介：让p是一个奇怪的素数。在我们介绍的这份报纸，二次的线性p鈥揳lgebraQ1由合适改变Q的发电机获得了，在H鈭炩€搑ing系列的范畴的cohomology操作的同类的二次的代数学，并且仔细看在情况p=相似的商在cohomology上导致的地图2，结果是injective。因此，它的目标包含古典亚当斯的E2鈥搕erm光谱顺序作为subalgebra。对的明确的描述在Q上在合理假设下面被给是Koszul代数学。关键词Koszul代数学-代数学的Cohomology-亚当斯光谱顺序先生(2000)题目分类55S10-18G15-55T15

简介：WeinvestigatethenonlinearSchrdingerequationiut+△u+|u|p-1u=0with1+4/N2）（whenN=1,2,1+4/N2>||Q||（1-sc）/sc|▽Q||2,theneitheru（t）blowsupinfiniteforwardtimeoru（t）existsgloballyforpositivetimeandthereexistsatimesequencetn→+∞suchthat||▽u（tn）||2→+∞.HereQisthegroundstatesolutionof—（1—sc）Q+△Q+|Q|p-1Q=0.Asimilarresultholdsfornegativetime.Thisextendtheresultofthe3DcubicSchr（o|¨）dingerequationobtainedbyHolmertothegeneralmass-supercriticalandenergy-subcriticalcase.

简介：作者首先给定义微弱地堕落(K1，K2)用外面的力量和外面的微分形式的技术的-quasiregular地图砰，然后，用McShane扩展的方法，有用不平等被获得，它能被用来导出自我改进的整齐。

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简介：指出GL(3,2)的两个不共轭的{2,3}-Hall子群都和S_4同构.由此,进一步给出两个不同构的S_4-模提供相同2-Brauer特征标的例子.

简介：Inthisarticle,the2-variablegeneralpolynomialsaretakenasbasewithPeterspolynomialstointroduceafamilyof2-variablePetersmixedtypepolynomials.Thesepolynomialsareframedwithinthecontextofmonomialityprincipleandtheirpropertiesareestablished.Certainsummationformulaeforthesepolynomialsarealsoderived.Examplesofsomemembersbelongingtothisfamilyareconsideredandnumbersrelatedtosomemixedspecialpolynomialsarealsoexplored.

简介：在这份报纸，为在3D的不可压缩的海军司烧方程围住的nonhomogeneous或无界的领域的大答案的全球L2稳定性的问题被学习。由精细的精力估计并且在大解决方案的合适的条件下面，它证明如果起始的数据是已知的强壮的解决方案的那些上的小不安，大解决方案是稳定的。

简介：ThispaperpresentsapropersplittingiterativemethodforcomparingthegeneralrestrictedlineareuqationsAx=b,x∈T（where,b∈AT,andTisanarbitrarybutfixedsubspaceofCm）andthegeneralizedinAT,SForthespecialcasewhenb∈ATanddim（T）=dim（AT）,thissplittingiterativemethverseAT,ShodconvergestoAT,Sb（theuniquesolutionofthegeneralrestrictedsystemAx=bx∈T）.

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简介：本文研究GHI插值，对于给定的切矢和曲率，导出了一条分段三次有理Bézier插值曲线，该曲线的所有Bé点和权因子由已知曲率和切矢直接计算生成，最后给出了一个数值实例。

简介：Let(.theMuckenhouptclass).Inthispaper,theauthorintroducetheweightedHerz-typeHardyspaces(w2)andpresenttheiratomicdecomposition.Usingtheatomicdecomposition,theauthorfindouttheirdualspaces,establishtheboundednessonthesespacesofthepseudo-differentialoperatorsoforderzeroandshowthat,theclassofC(Rn)-functionswithcompactlysupport,isdenseinandthereisasubsequence,whichconvergesindistrbutionalsensetosomedistributionof,ofanyboundedsequenceinInaddition,theauthoralsosetuptheboundednessofsomenon-linearquantitiesincompensatedcompactness.

简介：作者在H2(Bn)上给一个作文操作符的必要标准的上面的界限，它在S.S定义的更高维的值分发理论包含数的函数。Chern。一个标准也被给保证H2(Bn)上的作文操作员被围住或压缩。

简介：AnefficientmethodforC2nearlyarc-lengthparameterizedcurveispresented.Anideaofapproximationforthearc-lengthfunctionofparametriccurvewhichinterpolatesCADdatapointsisdiscussed.Theparameterizationisimplementedbyusingparametertransformation.Finally,twonumericalexamplesaregiven.

简介：Inthispaper,weusethedeformationmethodandG-equivarianttheorytoprovetheexistenceandmultiplicityofharmonicmapsfromanannulustotheunitsphereinR~3withsymmetricboundaryvalue.Inparticular,wecangetinfinitelymanyhomotopicallydifferentharmonicmapsiftheboundaryvalueisS~1-equivariantandnonconstant.

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简介：ThecommutatorsofsingularintegraloperatorswithhomogeneouskernelΩ(x)/|x|^narestudied,whereΩishomogeneousofdegreezero,andhasmeanvaluezeroontheunitsphere.ItisprovedthatΩ∈L(logL)^(k+1)(S^(n-1))isasufficientconditionsuchthatthek-thordercommutatorisboundedonL^2(R^n).

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