共查询到20条相似文献,搜索用时 52 毫秒
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给出B(X )上可乘映射的一个结构特征 ,在此基础上获得B(X)上自同构的若干刻画并回答了几个可乘性保持问题. 相似文献
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设X是一个实B anach空间,X*为其对偶空间,G是X的开、有界子集.T∶D(T)X→2X是m-增生算子,C∶D(T)→X是有界算子.分别在C(T I-)1非扩张与C(λT I)-1紧的情况下,利用凝聚映射的度理论,考虑了方程0∈R(T C)的可解性问题.定理4中在边界条件只为(I-(T C))(D(T)∩G)G的情况下用L-S度理论考虑了方程0∈(T C)(D(T)∩G)的可解性问题.这些定理推广了一些已有结果. 相似文献
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一类含P拉普拉斯算子的非线性椭圆边值问题解的存在性 总被引:6,自引:1,他引:5
魏利 《应用泛函分析学报》2002,4(1):46-54
利用非线性增生映射值域的扰动定理 ,研究了非线性椭圆边值问题 (@)在 Ls(Ω) ,p s<+∞中解的存在性 .(@) -△ pu +g(x,u) =f a.e.在Ω中-〈v,| u|p-2 u〉∈βx(u(x) ) a.e.在Γ上其中 f∈ Ls(Ω) ,p s<+∞给定 ,Ω RN为有界锥形区域 ,△ pu=div(| u|p-2 u)为 P拉普拉斯算子 ,max(N ,2 ) p<+∞ ,v为Γ的外法向导数 ,g∶Ω× R→ R满足 Caratheodory条件 ,对 x∈Γ ,βx 是正常、凸、下半连续函数 φx=φ(x,· )的次微分 ,其中 φ∶ Γ× R→ R.本文推广了魏利和何震所讨论的非线性问题的边值条件 . 相似文献
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设m∈N且m≥2,f是单位圆盘D上的正规化双全纯函数,P:Cn-1→C是m次齐次多项式.研究了单位球上改进的Roper-Suffridge算子F(z)=(f(z1)+f'(z1)P(z0),[f'(z1)]1/mz0)',其中z0=(z2,z3…,zn).当m=2时,该算子由Muir引入.当P≡0和m=2时,此算子就是著名的Roper-Suffridge算子.给出了∥P∥分别满足不同条件时,改进的算子分别保持α次的殆星和α次的星形映射性质.此结果推广了最近许多已有结果,而且方法更易于操作.特别地,当f(z1)=z1和m=n=2时,这就导出了多复变几何函数论中构造具体实例的经典形式F(z)=(z1+a22,z2)'. 相似文献
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完美非线性映射的一类构造 总被引:2,自引:2,他引:0
丘维敦 《数学的实践与认识》2004,34(7):118-121
在分组密码中 ,为了抗差分攻击 ,需要完美非线性映射 .利用有限域 Zp上的广义 Bent函数和不可约多项式 ,给出了完美非线性映射的一类构造 . 相似文献
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李小玲 《应用泛函分析学报》2012,14(4)
研究了一致连续广义Φ-伪压缩映射的不动点收敛定理.该定理中不要求Φ(t)为严格递增函数且对实序列的条件做了相应地放宽,从而所得结果推广和改进了已知的结论. 相似文献
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C.E. Chidume 《Journal of Mathematical Analysis and Applications》2003,282(2):756-765
Let E be a real uniformly smooth Banach space. Let A:D(A)=E→2E be an accretive operator that satisfies the range condition and A−1(0)≠∅. Let {λn} and {θn} be two real sequences satisfying appropriate conditions, and for z∈E arbitrary, let the sequence {xn} be generated from arbitrary x0∈E by xn+1=xn−λn(un+θn(xn−z)), un∈Axn, n?0. Assume that {un} is bounded. It is proved that {xn} converges strongly to some x∗∈A−1(0). Furthermore, if K is a nonempty closed convex subset of E and T:K→K is a bounded continuous pseudocontractive map with F(T):={Tx=x}≠∅, it is proved that for arbitrary z∈K, the sequence {xn} generated from x0∈K by xn+1=xn−λn((I−T)xn+θn(xn−z)), n?0, where {λn} and {θn} are real sequences satisfying appropriate conditions, converges strongly to a fixed point of T. 相似文献
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E. Allevi A. Gnudi I. V. Konnov S. Schaible 《Mathematical Methods of Operations Research》2007,65(2):293-303
New concepts of relative monotonicity were introduced in Konnov (Oper Res Lett 28:21–26, 2001a) which extend the usual ones.
These concepts enable us to establish new existence and uniqueness results for variational inequality problems over product
sets. This paper presents first-order characterizations of new (generalized) monotonicity concepts. Specialized results are
obtained for the affine case.
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José F. Alves Ví tor Araú jo Benoî t Saussol 《Proceedings of the American Mathematical Society》2003,131(4):1303-1309
We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonuniformly expanding on sets of total probability (probability one with respect to every invariant probability measure) are necessarily uniformly expanding. We also present a version of this result for diffeomorphisms with nonuniformly hyperbolic sets.
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Peter Wong 《Topology and its Applications》2001,110(3):185-209
In this paper, we introduce a Nielsen type number
for any selfmap f of a partially ordered set
of spaces. This Nielsen theory relates to various existing Nielsen type fixed point theories for different settings such as maps of pairs of spaces, maps of triads, fibre preserving maps, equivariant maps and iterates of maps, by exploring their underlying poset structures. 相似文献
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We consider quasisymmetric reparametrizations of the parameter space of the quadratic family. We prove that the set of quadratic maps which are either regular or Collet-Eckmann with polynomial recurrence of the critical orbit has full Lebesgue measure, for any such reparametrization. 相似文献
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Using Hilbert’s criterion, we consider the stress-energy tensor associated to the bienergy functional. We show that it derives
from a variational problem on metrics and exhibit the peculiarity of dimension four. First, we use this tensor to construct
new examples of biharmonic maps, then classify maps with vanishing or parallel stress-energy tensor and Riemannian immersions
whose stress-energy tensor is proportional to the metric, thus obtaining a weaker but high-dimensional version of the Hopf
Theorem on compact constant mean curvature immersions. We also relate the stress-energy tensor of the inclusion of a submanifold
in Euclidean space with the harmonic stress-energy tensor of its Gauss map.
S. Montaldo was supported by PRIN-2005 (Italy): Riemannian Metrics and Differentiable Manifolds. C. Oniciuc was supported
by a CNR-NATO (Italy) fellowship and by the Grant CEEX, ET, 5871/2006 (Romania). 相似文献
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David Kalaj 《Journal of Mathematical Analysis and Applications》2010,362(1):58-63
It is proved that every proper quasiregular C2 mapping w between two plane Jordan domains Ω∈C1,α and G∈C2,α, 0<α?1, satisfying the differential inequality |Δw|?M2|∇w|+N is Lipschitz continuous. This extends the main result of the author and M. Mateljevi? (Kalaj and Mateljevi?, 2006 [7]). 相似文献
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P. H. Sach D. S. Kim L. A. Tuan G. M. Lee 《Journal of Optimization Theory and Applications》2008,136(1):105-123
In this paper, we introduce new dual problems of generalized vector variational inequality problems with set-valued maps and
we discuss a link between the solution sets of the primal and dual problems. The notion of solutions in each of these problems
is introduced via the concepts of efficiency, weak efficiency or Benson proper efficiency in vector optimization. We provide
also examples showing that some earlier duality results for vector variational inequality may not be true.
This work was supported by the Brain Korea 21 Project in 2006. 相似文献
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Jouni PARKKONEN Vesa RUUSKA 《数学学报(英文版)》2007,23(1):89-94
A conjecture of Ehrenpreis states that any two compact Riemann surfaces of genus at least two have finite degree unbranched holomorphic covers that are arbitrarily close to each other in moduli space. Here we prove a weaker result where certain branched covers associated with arithmetic Riemann surfaces are allowed, and investigate the connection of our result with the original conjecture. 相似文献