简介:讨论了一类具有奇异系数的p-Laplace问题-Δpu-μ|u|u|x|p=u|x|tu+λuq-2u,x∈Ω,u=0,x∈Ω无穷多解的存在性,其中N≥3,Ω是RN中一有界光滑区域,0∈Ω,Δpu=-div(|▽u|p-2▽u),0≤μ〈μ=(N-p)ppp,1〈p〈N,0≤t〈p,λ〉0,1〈q〈p,p*(t)=p(N-t)(N-p)是Hardy-Sobolev临界指数利用变分原理和对偶喷泉定理,证明了该问题具有无穷多解.
简介:在这份报纸,我们试图把一条统一途径给存在Ekelands的几个版本变化原则。在一致空格的框架,我们通常介绍p距离和更多,q距离。然后,我们介绍完全性的一种新类型一致空格,即,关于q距离的顺序的完全性(特别地,p距离),它是完全性的一个很广泛的概念。由使用q距离和完全性的新类型,我们证明一条概括Takahashisnonconvex最小化定理,一个概括Ekelands变化原则和概括Caristis修理了点定理。而且,我们证明上述三条定理等价于对方。从概括Ekelands变化原则,我们推出Ekelands原则的很多个特别版本,它包括原则和他们的改进的许多已知的版本。
简介:在不要求非线性项f(t,u)取值非负但厂下方有界的情形下讨论了一类P-Laplacian方程两点边值问题的正解存在性问题,利用锥拉伸压缩不动点定理得到了该边值问题的一个正解存在性结果.
简介:Thisstudyperformsthequantitativeanalysisandcomparisontoacousticsignalcharact,eristicsofLargcyellowcroaker(Pseudosciaenacrocea)attwodifferentages.Thesoundswercrecordedfromthefishesinanet-cage.Twoexponentialoscillationfunctionsarebuilttofittheacousticsignalofthefishes.Thesignalcharacteristicoftheoscillationfrequencyandattcnuationcoefficientwasdescribedquantitatively.Simulationcurvesofthefunctioncouldfitwellacousticsignals.Boththeaverageoscillationfrequencyandattenuationcoefficientofthefittedsignalsfromthe13-15-month-oldfishesarclowerthanthosefromthe7-8-month-oldfishes.Theresultssuggestthattheoscillationfrequencyandattenuationcoefficientoftheacollsi.icsignalfunctionmayberelevanttothephysicalproccssofsoundproductionandagecharacteristicsofLargeyellowcroaker.Thisstudymaybevaluablefortheacousticapplicationtotheartificialcultureofthespecies.
简介:ThermotropicliquidcrystallineVHEterpolyestersmadefromvanillicacid(V),p-hydroxybenzoicacid(H)andpoly(ethyleneterephthalate)(E)werestudiedby400MHzNMRspectra,wideangleX-raydiffraction,scanningelectronandpolarizingmicroscopes.ItwasfoundthattheVHEterpolyestershadrandomsequencedistribution.TheVHEterpolyesterfilmsexhibitedhighlyorientedfibrillarstructure.
简介:Anovelstructureisproposedfordoublingtheverticalbreakdownvoltageofsilicon-on-insulator(SOI)devices.Inthisnewstructure,theconventionalburiedoxide(BOX)inanSOIdeviceissplitintotwosections:thesource-sectionBOXandthedrain-sectionBOX.Ahighly-dopedSilayer,referredtoasanon-depletionpotential-clampedlayer(NPCL),ispositionedunderandclosetothetwoBOXsections.InthesplitBOXesandtheSiregionabovetheBOXes,theblockingvoltage(BV)isdividedintotwopartsbytheNPCL.ThevoltageintheNPCLisclampedtobenearlyhalfofthedrainvoltage.Whenthedrainvoltageapproachesabreakdownvalue,thevoltagesustainedbythesource-sectionBOXandtheSiregionunderthesourcearenearlythesameasthevoltagesustainedbythedrain-sectionBOXandtheSiregionunderthedrain.TheverticalBVisthereforealmostdoubled.TheeffectivenessofthisnewstructurewasverifiedforaP-channelSOIlateraldouble-diffusedmetal-oxidesemiconductor(LDMOS)andcanbeappliedtootherhigh-voltageSOIdevices.ThesimulationresultsshowthattheBVinanNPCLP-channelSOILDMOSisimprovedby55%andthespecificon-resistance(Ron,sp)isreducedby69%incomparisontotheconventionalstructure.
简介:从SiCp/Al复合材料性能分析着手,讨论了预置件法、焊接法和粘接法等在空间遥感器研制中常用的联接方法的优缺点,提出了在高体积分数(体分)SiCp/Al复合材料上直接加工螺纹,并加装钢丝螺套的方法来改善螺纹联接性能。对在某高体分SiCp/Al复合材料上加工的M4、M5螺纹进行了拉伸测试,结果表明:加装钢丝螺套前,复合材料螺纹有被拉脱现象;加装钢丝螺套后,M4螺纹、螺杆在3000~4000N被拉断;M5螺纹、螺杆在8000~9000N被拉断,测试后两种规格的螺纹状态良好,可以满足实际应用对该材料拉伸强度的要求,其已应用于工程项目中。
简介:刻画加权Bergman空间Aα^2(Ω)上的加权复合算子Cφ,Ф的Schatten-p类.
简介:Inthispaper,wepresentanexplicitone-stepmethodforsolvingperiodicinitialvalueproblemsofsecondorderordinarydifferentialequations.ThemethodisP-stable,andoffirstalgebraicorderandhighphase-lagorder.Toimprovethealgebraicorder,wegiveacompositionsecondorderschemewiththeproposedmethodanditsadjoint.Wereportsomenumericalresultstoillustratetheefficiencyofourmethods.
简介:ThepresolarSiCgrains[1]carrytheoriginalstellarnucleosynthesissignature.Theirisotopicanomaliescomparedtothesunarethestrongconstrainsinthesupernovae(SN)modelcalculations.The15N-excessinsomeSiC-ABgrains(12C/13C<10and14N/15N<272)isoneofthechallengesofcore-collapsesupernovae(CCSNe)models[2].Recently,PignataripointedoutthattheentrainmentofH-richmaterialintotheHeshellbeforetheSNexplosionallowsthecoproductionof13C,15Nand26Al,whichprovidesanewproductionscenarioforSiC-ABgrains[2].IntheHeshellnucleosynthesis,the13Cisproducedthrough12C(p,γ)13N(β+γ)13Creaction.The14Nissynthesizedthrough13N(n,γ)and13C(p,γ)reactions.