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

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.

简介：Inthispaper,thenotionofp-waveletpacketsonthepositivehalf-lineR+isintroduced.Anewmethodforconstructingnon-orthogonalwaveletpacketsrelatedtoWalshfunctionsisdevelopedbysplittingthewaveletsubspacesdirectlyinsteadofusingthelowpassandhigh-passfiltersassociatedwiththemultiresolutionanalysisasusedintheclassicaltheoryofwaveletpackets.Further,themethodovercomesthedifficultyofconstructingnon-orthogonalwaveletpacketsofthedilationfactorp>2.

简介：有限的组G的亚群H被称为TI亚群如果H∩H~x=1或Hfor所有x∈G。在这篇论文，为有限p组，所有abeliansubgroups在是TI亚群的一个完全的分类，被给。

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

简介：主要研究具有性质(P)环的同调维数,所得的结果推广了文[1]的结果.

简介：讨论具有非线性耗散项P系统的Caucby问题．在一些较为合理的假设下．证明了其光滑解的整体存在性及其解的奇性形成．

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