简介：LetL=L0+VbethehigherorderSchrdigertypeoperatorwhereL0isahomogeneousellipticoperatoroforder2mindivergenceformwithboundedcoefficientsandVisarealmeasurablefunctionasmultiplicationoperator(e.g.,including(-?)m+V(m∈N)asspecialexamples).Inthispaper,assumethatVsatisfiesastronglysubcriticalformconditionassociatedwithL0,theauthorsattempttoestablishatheoryofHardyspaceHpL(Rn)(0<p≤1)associatedwiththehigherorderSchrdingertypeoperatorL.Specifically,wefirstdefinethemolecularHardyspaceHpL(Rn)bytheso-called(p,q,ε,M)moleculeassociatedtoLandthenestablishitscharacterizationsbytheareaintegraldefinedbytheheatsemigroupe-tL.

简介：当branes的二栈是到对方的没放的平行时，我们概括在branes的二平行的栈之间的远程的相互作用的计算到各种各样的案例。我们分类相互作用的性质(排斥或吸引人)为每个专辑，大小写和这个分类能被用来认为在象brane界限状态那样的二个复杂brane系统之间的远程的相互作用的性质正当。我们将在这份报纸提供明确的例子表明这。

简介：ThinheavilyMg-dopedInGaNandGaNcompoundcontactlayerisusedtoformNi/AuOhmiccontacttop-GaN.ThegrowthconditionsofthecompoundcontactlayeranditseffectontheperformanceofNi/AuOhmiccontacttop-GaNareinvestigated.Itisconfirmedthatthespecificcontactresistivitycanbelowerednearlytwoordersbyoptimizingthegrowthconditionsofcompoundcontactlayer.WhentheflowrateratiobetweenMgandGagassourcesofp++-InGaNlayeris10.6%andthethicknessofp++-InGaNlayeris3nm,thelowestspecificcontactresistivityof3.98×10-5?·cm2isachieved.Inaddition,theexperimentalresultsindicatethatthespecificcontactresistivitycanbefurtherloweredto1.07×10-7?·cm2byoptimizingthealloyingannealingtemperatureto520℃.

简介：在标题提及的组被分类直到同晶型。这是Berkovich和Janko建议的一个问题的一个答案。

简介：Inthispaper,weintroduceaconditionweakerthantheLpdifferentiability,whichwecallCpcondition.Weprovethatifafunctionsatisfiesthisconditionatapoint,thenthereexiststhebestlocalapproximationatthatpoint.WealsogiveanecessaryandsufficientconditionforthatafunctionbeLpdifferentiable.Inaddition,westudytheconvexityofthesetofclusterpointsofthenetofbestappoximationsoff,{Pe(f)}ase→0.

简介：Inthispaper,wesolvethequadraticp-functionalinequalities‖f(x+y)+f(x-y)-2f(x)-2f(y)‖≤‖ρ(2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y))‖,(0.1)whereρisafixedcomplexnumberwith|ρ|<1,and‖2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y)‖≤‖ρ(f(x+y)+f(x-y)-2f(x)-2f(y))‖,(0.2)whereρisafixedcomplexnumberwith|ρ|<1/2.Usingthedirectmethod,weprovetheHyers-Ulamstabilityofthequadraticρ-functionalinequalities(0.1)and(0.2)incomplexBanachspacesandprovetheHyers-Ulamstabilityofquadraticρ-functionalequationsassociatedwiththequadraticρ-functionalinequalities(0.1)and(0.2)incomplexBanachspaces.

简介：

简介：这份报纸处理批评quasilinear系统的二个类的一个积极解决方案的存在。我们由山通行证词根的变体证明这些结果，联合二条集中定理和二估计结果。这里，我们避免平常的紧密参数(例如，Palais-Smale条件或Cerami状况)并且为重要答案的存在揭示一些精力水平估计的潜力。

简介：Moleculardynamics(MD)simulationswereperformedtostretchtherectangulargraphenesheetsdopedwithsilicon,nitrogenorboronatoms.Young’smodulus,ultimatestress(strain)andenergyabsorptionweremeasuredforthegraphenesheetswiththedopingconcentration(DC)rangingfrom0to5%.Theemphasiswasplacedonthedistincteffectsofeachindividualdopantonthefundamentalmechanicalpropertiesofgraphene.TheresultsindicatedthatincorporatingthedopantsintographeneledtoanalmostlineardecreaseinYoung’smodulus.Monotonicreductionsinultimatestrength,ultimatestrainandenergyabsorptionwerealsoobserved.Suchdopingeffectswerefoundtobemostsignificantforsilicon,lesspronouncedforboron,andsmallornegligiblefornitrogen.Theoutputsprovideanimportantguidanceforthedevelopmentandoptimizationofnovelnanoscaledevices,andfacilitatethedevelopmentofgraphene-basedM/NEMS.

简介：LongtimebehaviorofdegenerateequationswiththenonlinearityofpolynomialgrowthofarbitraryorderonthewholespaceRNisconsidered.Byusing-trajectoriesmethods,weprovedthatweaksolutionsgeneratedbydegenerateequationspossessan(L2U(RN),L2loc(RN))-globalattractor.Moreover,theupperboundsoftheKolmogorovε-entropyforsuchglobalattractorarealsoobtained.

简介：

简介：Inthispaperweconsiderthep-Laplaceproblem-εp?pu+V(x)up-1=uq-1,u>0inRNwhere2≤p<N,ε>0andpp*=Np/N-p.Visanon-negationsandεisasmallparameter.WeobtaintheexistenceofsolutionsconcentratednearsetconsistingofdisjointcomponentsofzerosetofVundercertainassumptionsonVwhenε>0issmall.

简介：

简介：Inthispaper,weestablishtheLp(Rn+1)boundednessforthecommutatorsofsingularintegralsassociatedtosurfacesofrevolution,{(t,φ(|t|)):t∈Rn},withroughkernels?∈L(logL)2(Sn-1),ifφ(|t|)=|t|.

简介：

简介：

简介：研究了vonNeumann代数A上的零点（m,n）-可导映射,证明了：对任意固定的非零整数m,n且（m＋n）（m-n）≠0,如果线性映射δ：A→A对任意满足AB=0的A,B∈A有mδ（AB）＋nδ（BA）=mδ（A）B＋mAδ（B）＋nδ（B）A＋nBδ（A）,则δ是导子.

简介：NanofluidswerepreparedbydispersingCunanoparticles(~20nm)inn-tetradecanebyatwo-stepmethod.Theeffectivethermalconductivitywasmeasuredforvariousnanoparticlevolumefractions(0.0001-0.02)andtemperatures(306.22-452.66K).TheexperimentaldatacompareswellwiththeJangandChoimodel.Thethermalconductivityenhancementwaslowerabove391.06Kthanforthatbetween306.22and360.77K.Theinterfacialthermalresistanceincreasedwithincreasingtemperature.Theeffectivethermalconductivityenhancementwasgreaterthanthatobtainedwithamoreviscousfluidasthebasemediaat452.66KbecauseofnanoconvectioninducedbynanoparticleBrownianmotionathightemperature.

简介：

简介：Inthispaper,weinvestigateanon-autonomoussecond-orderp-Laplaciansystem.Basedoncriticalpointtheory,wediscusstheexistenceofhomoclinicorbitsofthesystem.