简介：Theinflowprobleminthesupersoniccaseforaone-dimensionalcompressibleviscousgasonthehalfline(0,+∞)isinvestigated.Astabilitytheoremconcerningthelongtimebehaviourofrarefactionwaveisestablished.

简介：TheauthorconsiderstheFeigenbaum'sfunctionalequationf^P(λx)=λf(x)foreachp≥2.TheexistenceofevenunimodalC^1solutionstothisequationisdiscussedandafeasiblemethodtoconstructsuchsolutionsisgiven.

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简介：Thisarticleprovestheexistenceofsingulardirectionsofvaluedistributiontheoryforsometranscendentalholomorphiccurvesinthen-dimensionalcomplexprojectivespacePn(C).Anexampleisgiventocomplementtheseresults.

简介：为0<α

简介：在这份报纸，我们学习包含批评Sobolev代表的p&q-Laplacian类型的下列非线性的椭圆形的问题的多重解决方案的存在：

简介：Inthispaperweconsiderthep-Laplaceproblem-εp?pu+V(x)up-1=uq-1,u>0inRNwhere2≤p0andpp*=Np/N-p.Visanon-negationsandεisasmallparameter.WeobtaintheexistenceofsolutionsconcentratednearsetconsistingofdisjointcomponentsofzerosetofVundercertainassumptionsonVwhenε>0issmall.

简介：Inthispaper,thegeneralMarcinkiewiczintegraloperatorμΩ.αontheH^pSobolevspacesundertheproperconditionofkernelΩ(x')isconsidered.ItisobtainedthatμΩ.αisboundedfromHα^ptoL^pforsomeO

简介：研究p-凸函数的一些新的性质及判别准则,并建立P-凸函数的Jensen型、Rado型及Hadamard型不等式.

简介：在这篇文章，用印射原则和射击方法的收缩，作者获得quasilinear的一个类的本地答案和全球解决方案的存在和唯一有p拉普拉斯算符的椭圆形的系统作为它的主管。他们也在边界数据上获得答案的连续依赖。

简介：Thepaperinvestigatestheh-pversionoftheinfiniteelementmethod.Anexponentialconvergencecanbeabtainedbyasmallamountofcomputingwork.

简介：Inthispaper,acompleteclassificationofarc-transitivecubicgraphsoforder4pisgiven.

简介：Inthepresentpaper,westudycertaindifferentialinequalitiesinvolvingp-valentfunctionsandobtainsufficientconditionsforuniformlyp-valentstarlikenessanduniformlyp-valentconvexity.Wealsoofferacorrectversionofsomeknowncriteriaforuniformlyp-valentstarlikeanduniformlyp-valentconvexfunctions.

简介：首先研究了Kleene-Stone代数的由素滤子生成的同余关系的性质,然后在此基础上给出了Kleene-Stone代数的分类,最后证明了对每个KS-n代数L(n),存在一个商代数L(n)/～嵌入于有限的KS-n代数Ω(n)中.

简介：枚举法与树图在概率中的应用刘长乃（北京经济学院）古典概率的计算是概率论中最基本、最重要的内容之一，学好古典概率的计算对后续课程的学习是非常重要的。然而对于初学概率的学生来说这是较难掌握也是容易出错的地方，特别是对有利事件数的计算，不是遗漏就是重复计算...

简介：设G是一个图.设g和f是两个定义在V(G)上的整值函数使得对V(G)所有的顶点x有g(x)f(x).图G被称为(g,f,n)-临界图,如果删去G的任意n个顶点后的子图都含有G的(g,f)-因子.本文给出了图是(a,b,n)-临界图几个充分条件.进一步指出这些条件是最佳的.例如,如果对V(G)所有的顶点x和y都有g(x)＜f(x),n+g(x)dG(x)和g(x)/(dG(x)-n)f(y)/dG(y),则G是(g,f,n)-临界图.

简介：在非线性项f是关于u的奇函数,势函数是有界的周期函数且下界是正的,Sobolev嵌入缺乏了紧性和f不再满足（AR）条件下,运用临界点理论中的喷泉定理和集中紧性原则证明了R~N中具有周期势函数的一类超线性p-Laplacian方程存在无穷多非平凡解。

简介：Inthispaper,weshallestablishthateachweaksolutionofp-harmonictypesystemswiththegradientsbelowthecontrollablegrowthbelongsto,HldercontinuityspaceswithanyHlderexponenta∈[0,1).Furthermore,wecanobtainthatthegradientsofthecorrespondingweaksolutionsalsobelongtolocallyHldercontinuityspaceswithsomeHlderexponent.

简介：InthispaperL^p-L^qestimatesforthesolutionu(x,t)tothefollowingperturbedhigh-erorderhyperbolicequationareconsidered,(ρπ--a△)(ρπ--b△)u+V(x)u=O,x∈R^n,n≥6,ρ1eu(x,O)=O,ρ^3eu(x,O)=f(x),(j=O,1,2).WeassumethattheotentialV(x)andtheinitialdataf(x)arecompactlysupported,andV(x)issufficientlysmall,thenthesolutionu(x,t)oftheaboveproblemsatisfiesthesameL^p-L^qestimatesasthatoftheunperturbedproblem.

简介：Inthispaperwewillshowthatifanapproximationprocess{Ln}n∈Nisshapepreservingrelativetotheconeofallk-timesdifferentiablefunctionswithnon-negativek-thderivativeon[0,1],andtheoperatorsLnareassumedtobeoffiniterankn,thentheorderofconvergenceofDkLnftoDkfcannotbebetterthann2evenforthefunctionsxk,xk+1,xk+2onanysubsetof[0,1]withpositivemeasure.Takingintoaccountthisfact,wewillbeabletofindsomeasymptoticestimatesoflinearrelativen-widthofsetsofdifferentiablefunctionsinthespaceLp[0,1],p∈N.