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183 个结果
  • 简介:Inthispaperweconsidertheclass∑[p,α,β,k,c]consistingofanalyticfunctionswithnegativecoefficientsandfixedsecondcoefficient.Theobjectofthepresentpaperistogivecoefficientestimates,convexlinearcombinations,somedistortiontheoremsandradiiofstarlikenessandconvexityforf(z)intheclass∑[p,α,β,k,c].

  • 标签: 分析函数 亚纯函数 否定系数 变形理论
  • 简介:TheauthorconsiderstheFeigenbaum'sfunctionalequationf^P(λx)=λf(x)foreachp≥2.TheexistenceofevenunimodalC^1solutionstothisequationisdiscussedandafeasiblemethodtoconstructsuchsolutionsisgiven.

  • 标签: 功能方程 连续单峰解 偶数单峰解 交叉迭代
  • 简介:Inthispaperweconsiderthep-Laplaceproblem-εp?pu+V(x)up-1=uq-1,u>0inRNwhere2≤p0andpp*=Np/N-p.Visanon-negationsandεisasmallparameter.WeobtaintheexistenceofsolutionsconcentratednearsetconsistingofdisjointcomponentsofzerosetofVundercertainassumptionsonVwhenε>0issmall.

  • 标签: 解的存在性 组成部分 非负函数 参数值 不相交
  • 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。

  • 标签: 椭圆型系统 边值问题 压缩映射法则 射击方法
  • 简介:Inthepresentpaper,westudycertaindifferentialinequalitiesinvolvingp-valentfunctionsandobtainsufficientconditionsforuniformlyp-valentstarlikenessanduniformlyp-valentconvexity.Wealsoofferacorrectversionofsomeknowncriteriaforuniformlyp-valentstarlikeanduniformlyp-valentconvexfunctions.

  • 标签: 微分不等式 P叶函数 注记 充分条件 -凸函数 星形
  • 简介:Inthispaper,weshallestablishthateachweaksolutionofp-harmonictypesystemswiththegradientsbelowthecontrollablegrowthbelongsto,HldercontinuityspaceswithanyHlderexponenta∈[0,1).Furthermore,wecanobtainthatthegradientsofthecorrespondingweaksolutionsalsobelongtolocallyHldercontinuityspaceswithsomeHlderexponent.

  • 标签: 可管理生长 p-谐波系统 完整规律性 梯度 HOLDER连续性
  • 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.

  • 标签: L^p-L^q估计 高阶分支 双曲型偏微分方程 紧支撑
  • 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.

  • 标签: 渐近估计 N-宽度 线性相关 次可微函数 逼近过程 线性关系