共查询到20条相似文献,搜索用时 500 毫秒
1.
Hong Ya GAO Shu Qing ZHOU 《数学学报(英文版)》2007,23(12):2241-2246
We obtain a new inequality for weakly (K1,K2)-quasiregular mappings by using the McShane extension method. This inequality can be used to derive the self-improving regularity of (K1, K2)-Quasiregular Mappings. 相似文献
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A new improvement of Hilbert's inequality for double series can be established by means of a strengthened Cauchy's inequality. As application, a quite sharp result on Fejer-Riesz's inequality is obtained. 相似文献
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In this paper, we give discreteness criteria of subgroups of the special linear group on Qp or Cp in two and higher dimensions. J rgensen's inequality gives a necessary condition for a nonelementary group of Mbius transformations to be discrete. We give a version of Jфrgensen's inequality for SL(m, Cp). 相似文献
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一类强耦合抛物型方程组初边值问题解的整体存在性 总被引:1,自引:0,他引:1
In this paper, we consider a strongly-coupled parabolic system with initial boundary values. Under the appropriate conditions, using Gagliard-Nirenberg inequality, Poincare inequality, Gronwall inequality and imbedding theorem, we obtain the global existence of solutions. 相似文献
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Let p(z)=be a polynomial degree n and let Then accord-ing to Bernstein's inequality ||p'||相似文献
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The Petty Projection Inequality for Lp-Mixed Projection Bodies 总被引:7,自引:0,他引:7
Wei Dong WANG Gang Song LENG 《数学学报(英文版)》2007,23(8):1485-1494
Recently, Lutwak, Yang and Zhang posed the notion of Lp-projection body and established the Lp-analog of the Petty projection inequality. In this paper, the notion of Lp-mixed projection body is introduced--the Lp-projection body being a special case. The Petty projection inequality, as well as Lutwak's quermassintegrals (Lp-mixed quermassintegrals) extension of the Petty projection inequality, is established for Lp-mixed projection body. 相似文献
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In this paper, we improve an inequality of Vinogradov by analysis method. 相似文献
10.
Zlatko PAVIC 《数学研究及应用》2016,36(1):51-60
The article deals with generalizations of the inequalities for convex functions on the triangle. The Jensen and the Hermite-Hadamard inequality are included in the study. Considering a convex function on the triangle, we obtain a generalization of the Jensen-Mercer inequality, and a refinement of the Hermite-Hadamard inequality. 相似文献
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To the maps on the Heisenberg group target, we prove a Poincar type inequality. Applying this Poincar type inequality, we obtain the corresponding versions of Sobolev and Rellich embedding theorems. 相似文献
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The Hardy-Sobolev inequality with general weights is established, and it is shown that the constant is optimal. The two weights in this inequality are determined by a Bernoulli equation. In addition, the authors obtain the Hardy-Sobolev inequality with general weights and remainder terms. By choosing special weights, it turns to be many versions of the Hardy-Sobolev inequality and the Caffarelli-Kohn-Nirenberg inequality with remainder terms in the literature. 相似文献
13.
《数学学报(英文版)》2020,(4)
Let x=(x',x")) with x'∈■ and x" ∈and x"∈■ and Ω be a x'-symmetric and bounded domain in ■(N≥2).We show that if 0 ≤a≤k-2,then there exists a positive constant C 0 such that for all x'-symmetric function ■with■,the following uniform inequality holds■ where■.Furthermore,β_a can not be replaced by any greater number.As the application,we obtain some weighted Trudinger-Moser inequalities for x-symmetric function on Grushin space. 相似文献
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In this paper, we establish an improved Hardy–Littlewood–Sobolev inequality on Snunder higher-order moments constraint. Moreover, by constructing precise test functions, using improved Hardy–Littlewood–Sobolev inequality on Sn, we show such inequality is almost optimal in critical case.As an application, we give a simpler proof of the existence of the maximizer for conformal Hardy–Littlewood–Sobolev inequality. 相似文献
15.
Another generalization of the Mitrinovic-Djokovic inequality is proved by elementarymeans. 相似文献
16.
Yu Xiang LI 《数学学报(英文版)》2006,22(2):545-550
We will show in this paper that if A is very close to 1, then
I(M,λ,m) =supu∈H0^1,n(m),∫m|△↓u|^ndV=1∫Ω(e^αn|u|^n/(n-1)-λm∑k=1|αnun/(n-1)|k/k!)dV
can be attained, where M is a compact-manifold with boundary. This result gives a counter-example to the conjecture of de Figueiredo and Ruf in their paper titled "On an inequality by Trudinger and Moser and related elliptic equations" (Comm. Pure. Appl. Math., 55, 135-152, 2002). 相似文献
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Reisner proved a reverse of the Blaschke-Santal5 inequality for zonoid bodies, Bourgain and Milman showed another reverse of the Blaschke-Santal5 inequality for centered convex bodies. In this paper, two reverses of the Blaschke-Santal5 inequality for convex bodies are given by the Petty projection inequality and above two reverses. Further, using above methods, we also obtain two analogues of the Petty's conjecture for projection bodies, respectively. 相似文献
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Long JIANG Department of Mathematics China University of Mining Technology Xuzhou Jiangsu China School of Mathematical Sciences Fudan University Shanghai China School of Mathematics System Sciences Shandong University Jinan China. 《数学年刊B辑(英文版)》2006,27(5)
Under the Lipschitz assumption and square integrable assumption on g, the author proves that Jensen's inequality holds for backward stochastic differential equations with generator g if and only if g is independent of y, g(t, 0) = 0 and g is super homogeneous with respect to z. This result generalizes the known results on Jensen's inequality for g-expectation in [4, 7-9]. 相似文献
19.
Yuqiao LI 《数学年刊B辑(英文版)》2022,43(1):115-124
The author proves that the isoperimetric inequality on the graphic curves over circle or hyperplanes over Sn-1is satisfied in the cigar steady soliton and in the Bryant steady soliton. Since both of them are Riemannian manifolds with warped product metric,the author utilize the result of Guan-Li-Wang to get his conclusion. For the sake of the soliton structure, the author believes that the geometric restrictions for manifolds in which the isoperimetric inequality holds are naturally s... 相似文献
20.
A certain generalization of the Mitrinovi c-Djokovi c inequality is proved by means of elementary calculus. 相似文献