简介:Inthispaper,weareconcernedwiththesymmetricpositivesolutionsofa2n-orderboundaryvalueproblemsontimescales.Byusinginductionprinciple,thesymmetricformoftheGreen’sfunctionisestablished.Inordertoconstructanecessaryandsufficientconditionfortheexistenceresult,themethodofiterativetechniquewillbeused.Asanapplication,anexampleisgiventoillustrateourmainresult.
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:在这份报纸,我们学习最少的精力的存在包含部分拉普拉斯算符操作员的一个Kirchhoff类型问题的改变症状的解决方案。由使用限制变化方法和量的变丑词根,我们获得一个最少的精力节的答案u为给定的问题的b。而且,我们证明ub严格地比大两次扎根的州的精力。我们也给u是的bb0,在b被认为是一个积极参数的地方。
简介:在微波辐射条件下,以2-氨基-5-苯并呋喃基-1,3,4-噻二唑和N.取代三氯乙酰苯胺为原料,在固体氢氧化钠作用下,“一锅法”高产率合成了10种N-(5-苯并呋喃基-1,3,4-噻二唑-2-基)-NL芳基脲,并通过IR、^1HNMR和元素分析表征了目标产物的结构.
简介:Asidechainliquidcrystallinecopolysiloxane,whichwouldshowelectro-opticeffectsasknownfromlowmassliquidcrystal,wassynthesizedbyhydrosilylationreaction,andthetwohomologousmonomerswithdifferentlengthspacerscontainingSchiff’sbasemesogenwith—NO2terminatedgroupweregraftedtoapolysiloxanemainchain.Residualmonomerincrudeproductiseffectiveinreinforcingtheresponsetoanelectricfieldoverthatofpurepolymericliquidcrystal.
简介:本文中,我们研究一类由极大Bochner—Riesz算子和Lipschtz函数A生成的多线性算子,获得了它的(Lp,上q)型,而且我们还将证明此算子从Lebesgue空间到Lipschtz空间、从Herz空间到Campanato空间和从Lp空间到Tribel—Lizorkin空间的有界性.
简介:LetM^nbeaclosedspacelikesubmanifoldisometricallyimmersedindeSitterspaceSp^(n+p)(c),DenotebyR,HandSthenormalizedscalarcurvature,themeancurvatureandthesquareofthelengthofthesecondfundamentalformofM^n,respectively.SupposeRisconstantandR≤c.ThepinchingproblemonSisstudiedandarigiditytheoremforM^nimmersedinSp^(n+p)(c)withparallelnormalizedmeancurvaturevectorfieldisproved.Whenn≥3,thepinchingconstantisthebest.Thus,themistakeofthepaper“Space-likehypersurfacesindeSitterspacewithconstantscalarcurvature”(seeManusMath,1998,95:499-505)iscorrected.Moreover,thereductionofthecodimensionwhenM^nisacompletesubmanifoldinSp^(n+p)(c)withparallelnormalizedmeancurvaturevectorfieldisinvestigated.
简介:Thebilinearformofthe(2+1)-dimensionalnon-isospectralAKNSsystemisderived.ItsN-solitonsolutionsareobtainedbyusingtheHirotamethod.Asareduction,a(2+1)-dimensionalnon-isospectralSchrdingerequationanditsN-solitonsolutionsareconstructed.
简介:W,N共同做TiO2nanoparticles被一个solgel方法综合。准备样品被X光检查衍射(XRD)描绘,域排放扫描电子显微镜学(FE-SEM),传播电子显微镜学(TEM),Fourier变换红外线的光谱学(英尺红外),X光检查光电子光谱学(XPS)和弥漫的反射spectrophotometry(医生)。结果证明共同做的光催化剂是有22.5nm的最小的粒子尺寸的实质上一致的球形的粒子。比作未做的TiO2,N-TiO2和P-25,W的吸收边,N共同做转移到更长的波长的TiO2和它为在Xe灯(350W)下面的甲基橘子(瞬间)的降级的photocatalytic活动更高。
简介:Aseriesofcopper(Ⅱ)complexeswithpyridineN-oxide-2-ylmethylidened-ithiocarbazatesasligandsweresynthesizedandcharacterizedbyIRspectra,electronicspectraandmagneticmomentsmeasurementatroomtemperature.Variabletemperaturemagneticsusceptibilites(3-300K)offourcomplexsweremeasuredandfittedwiththeBleaney-Bowersdimerequationbyconsideringthemagneticinteractionbetweenmolecules.Thefittingresultsshowtheexistenceofintramolecularferromagneticinteractionsandintermolecu-laranti-ferromagneticinteractionsinthesecopper(Ⅱ)complexes.
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简介:ThispaperstudiestheequilibriumgeometriesandelectronicpropertiesofBenandBenLiclusters,upton=15,byusingdensity-functionaltheory(DFT)atB3LYP/6-31G(d)level.Thelowest-energystructuresofBenandBenLiclustersweredetermined.Theresultsindicatethatasinglelithiumimpurityenhancesthestabilityandchemicalreactivityoftheberylliumclusters.Itfindsthatthegeometriesofthehostclusterschangesignificantlyaftertheadditionofthelithiumatomforn≥8.Thelithiumimpuritypreferstobeontheperipheryofberylliumclusters,andoccupiesvertexsites.BothBe4Li,Be9Li,andBe13Liwerefoundtobeparticularlystablewithhigheraveragebindingenergy,localpeaksofsecond-orderenergydifferenceandfragmentationenergies.ForalltheBenLiclustersstudied,wefoundchargetransfersfromtheLitoBesiteandco-existenceofcovalentandmetallicbondingcharacteristics.更多还原
简介:TwoN-dichloroacetyloxazolidinesweresynthesizedwithasimple,mildandconvenientmethod.AllthecompoundswerecharacterizedbyIR,^1HNMRandelementalanalysis.Thepreliminarybiologicaltestshowedthatthecompoundsprotectedmaizeagainstinjurybysomeherbicidestosomeextent.