共查询到20条相似文献,搜索用时 46 毫秒
1.
We prove C1,α-regularity for local minimizers of functionals
2.
In this paper, using the generalized Wronskian, we obtain a new sharp
bound for the generalized Masons theorem [1] for functions of several variables.
We also show that the Diophantine equation (The generalized Fermat-Catalan equation)
where
, such that k out of the
n-polynomials
are constant, and
under certain conditions for
has no non-constant solution.
Received: 20 March 2003 相似文献
3.
4.
Yu. V. Zhukov 《Journal of Mathematical Sciences》1999,97(3):4143-4161
The paper deals with the three-particle model of a lattice gas with a weak interaction. It is proved that the Hamiltonian
of this system is unitarily equivalent to the Hamiltonian of the free system. This result is obtained by constructing the
corresponding wave operators. To prove their existence, the resolvent of the Hamiltonian is studied. Bibliography: 8 titles.
This work was supported by the International Science Foundation (grant MG-J000) and the International Soros Science Education
Program (ISSEP, grant a-876).
Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 20, pp. 252–281. 相似文献
5.
By theorems of Ferguson and Lacey (d = 2) and Lacey and Terwilleger (d > 2), Nehari??s theorem (i.e., if H ?? is a bounded Hankel form on H 2(D d ) with analytic symbol ??, then there is a function ?? in L ??(T d ) such that ?? is the Riesz projection of g4) is known to hold on the polydisc D d for d > 1. A method proposed in Helson??s last paper is used to show that the constant C d in the estimate ???????? ?? C d ??H ?? ?? grows at least exponentially with d; it follows that there is no analogue of Nehari??s theorem on the infinite-dimensional polydisc. 相似文献
6.
Stefan Gille 《Archiv der Mathematik》2007,88(4):333-343
Let
be a closed subscheme of the noetherian scheme X. We show that if X has a dualizing complex
then there exists a dualizing complex
of Z such that there is an isomorphism of coherent Witt groups
for all
.
Received: 3 March 2006 相似文献
7.
Peter Müller 《Israel Journal of Mathematics》1999,109(1):319-337
Letf (X, t)εℚ[X, t] be an irreducible polynomial. Hilbert’s irreducibility theorem asserts that there are infinitely manyt 0εℤ such thatf (X, t 0) is still irreducible. We say thatf (X, t) isgeneral if the Galois group off (X, t) over ℚ(t) is the symmetric group in its natural action. We show that if the degree off with respect toX is a prime ≠ 5 or iff is general of degree ≠ 5, thenf (X, t 0) is irreducible for all but finitely manyt 0εℤ unless the curve given byf (X, t)=0 has infinitely many points (x 0,t 0) withx 0εℚ,t 0εℤ. The proof makes use of Siegel’s theorem about integral points on algebraic curves, and classical results about finite groups, going back to Burnside, Schur, Wielandt, and others. Supported by the DFG. 相似文献
8.
Thomas Peternell 《manuscripta mathematica》1985,50(1):397-428
In this paper the following theorem is proved. Let X be a compact complex manifold of dimension 3 which carries 3 algebraically independent meromorphic functions. Assume that X is topologically isomorphic to the 3-dimensional projective space 3. Then X is biholomorphically equivalent to 3. In particular any deformation of 3 is 3.Dedicated to Karl Stein 相似文献
9.
10.
In this paper a linear bound on the dimension in the Green–Ruzsa version of Freiman?s theorem is obtained. This result is best possible up to a constant. 相似文献
11.
Let T be a Banach space operator, E(T) be the set of all isolated eigenvalues of T and π(T) be the set of all poles of T. In this work, we show that Browder's theorem for T is equivalent to the localized single-valued extension property at all complex numbers λ in the complement of the Weyl spectrum of T, and we give some characterization of Weyl's theorem for operator satisfying E(T) = π(T). An application is also given. 相似文献
12.
史金麟 《中国科学A辑(英文版)》2003,46(2):215-228
Hartman's linearization theorem tells us that if matrix A has no zero real part and f(x) is bounded and satisfies Lipchitz condition with small Lipchitzian constant, then there exists a homeomorphism of Rn sending the solutions of nonlinear system x' = Ax + f(x) onto the solutions of linear system x = Ax. In this paper, some components of the nonlinear item f(x) are permitted to be unbounded and we prove the result of global topological linearization without any special limitation and adding any condition. Thus, Hartman's linearization theorem is improved essentially. 相似文献
13.
Wilson in 1972 gave a generalization of Arrow's theorem without the Pareto axiom. We prove a version of Wilson's theorem for consensus functions on hierarchies. 相似文献
14.
15.
《Discrete Mathematics》2020,343(4):111696
For a set the -neighbourhood of is , where denotes the usual graph distance on . Harper’s vertex-isoperimetric theorem states that among the subsets of given size, the size of the -neighbourhood is minimised when is taken to be an initial segment of the simplicial order. Aubrun and Szarek asked the following question: if is a subset of given size for which the sizes of both and are minimal for all , does it follow that is isomorphic to an initial segment of the simplicial order?Our aim is to give a counterexample. Surprisingly it turns out that there is no counterexample that is a Hamming ball, meaning a set that lies between two consecutive exact Hamming balls, i.e. a set with for some . We go further to classify all the sets for which the sizes of both and are minimal for all among the subsets of of given size. We also prove that, perhaps surprisingly, if for which the sizes of and are minimal among the subsets of of given size, then the sizes of both and are also minimal for all among the subsets of of given size. Hence the same classification also holds when we only require and to have minimal size among the subsets of given size. 相似文献
16.
Imre Csiszár 《Bulletin of the Brazilian Mathematical Society》2006,37(4):453-459
A simple self-contained proof of Sanov's theorem in τ-topology is given, well suited for a first course on large deviations.
*This work was supported by the Hungarian National Foundation for Scientific Research under Grant T046376 相似文献
17.
In this article we prove an effective version of the classical Brauer’s Theorem for integer class functions on finite groups.
相似文献
18.
We consider the relation between versions of Ramsey’s Theorem and König’s Infinity Lemma, in the absence of the axiom of choice. 相似文献
19.
Chang Yanxun 《应用数学学报(英文版)》2000,16(4):373-385
Letk be any integer andk≥-3. In this article it is proved that the necessary conditionv≡k (modk(k−1)) for the existence of anRB(v,k,1) is sufficient wheneverv>exp{exp{k
12k
2
}}.
This project is supported by the National Natural Science Foundation of China (No.19701002) and Huo Yingdong Foundation. 相似文献
20.
We present a constructive proof for the well-known Ky Fan’s coincidence theorem through a simplicial algorithm. In a finite
number of steps the algorithm generates a simplex containing an approximate coincidence point. In the limit, when the mesh
size converges to zero, the sequence of approximations converges to a coincidence point.
This research was carried out while the second author was visiting the CentER for Economic Research, Tilburg University. He
would like to thank both CentER and the Netherlands Organization for Scientific Research (NWO) for their financial support. 相似文献