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121.
Existence of multiple and sign-changing solutions for a problem involving p-Laplacian and jumping nonlinearities are considered via the construction of descent flow in . Sign-changing and multiple solutions are obtained under additional assumption on the nonlinearity. The uniqueness of positive (negative) solution theorem is included too. 相似文献
122.
We construct natural maps (the Klein and Wirtinger maps) from moduli spaces of semistable vector bundles over an algebraic curve X to affine spaces, as quotients of the nonabelian theta linear series. We prove a finiteness result for these maps over generalized Kummer varieties (moduli space of torus bundles), leading us to conjecture that the maps are finite in general. The conjecture provides canonical explicit coordinates on the moduli space. The finiteness results give low-dimensional parametrizations of Jacobians (in 70803000690-si1.gif"> for generic curves), described by 2Θ functions or second logarithmic derivatives of theta.We interpret the Klein and Wirtinger maps in terms of opers on X. Opers are generalizations of projective structures, and can be considered as differential operators, kernel functions or special bundles with connection. The matrix opers (analogues of opers for matrix differential operators) combine the structures of flat vector bundle and projective connection, and map to opers via generalized Hitchin maps. For vector bundles off the theta divisor, the Szegö kernel gives a natural construction of matrix oper. The Wirtinger map from bundles off the theta divisor to the affine space of opers is then defined as the determinant of the Szegö kernel. This generalizes the Wirtinger projective connections associated to theta characteristics, and the associated Klein bidifferentials. 相似文献
123.
Miki Hirano 《Indagationes Mathematicae》2004,15(1):43-53
In this paper, we study the Fourier-Jacobi type spherical functions on Sp(2, R) for irreducible principal series representations. We give the multiplicity theorem and an explicit formula for this function. 相似文献
124.
The goal of the paper is to initiate research towards a general, Blow-up Lemma type embedding statement for pseudo-random graphs with sublinear degrees. In particular, we show that if the second eigenvalue of a d-regular graph G on 3n vertices is at most cd
3/n
2 log n, for some sufficiently small constant c > 0, then G contains a triangle factor. We also show that a fractional triangle factor already exists if < 0.1d
2/n. The latter result is seen to be best possible up to a constant factor, for various values of the degree d = d(n).* Supported by a USA-Israeli BSF grant, by a grant from the Israel Science Foundation and by a Bergmann Memorial Award. Research supported in part by NSF grants DMS-0106589, CCR-9987845 and by the State of New Jersey. Research supported in part by NSF grant DMS 99-70270 and by the joint Berlin/Zurich graduate program Combinatorics, Geometry, Computation, financed by the German Science Foundation (DFG) and ETH Zürich. 相似文献
125.
Raúl?E.?CurtoEmail author Lawrence?A.?Fialkow 《Integral Equations and Operator Theory》2004,50(2):169-196
Given real numbers
with 00 >0 , the truncated parabolic moment problem for entails finding necessary and sufficient conditions for the existence of a positive Borel measure , supported in the parabola p(x, y) = 0, such that
We prove that admits a representing measure (as above) if and only if the associated moment matrix
is positive semidefinite, recursively generated and has a column relation p(X, Y) = 0, and the algebraic variety () associated to satisfies card
In this case, admits a rank
-atomic (minimal) representing measure.Submitted: August 25, 2003 相似文献
126.
We classify (up to Morita equivalence) all tame weakly symmetric finite
dimensional algebras over an algebraically closed field having simply connected
Galois coverings, nonsingular Cartan matrices and the stable Auslander-Reiten
quivers consisting only of tubes. In particular, we prove that these algebras
have at most four simple modules.Received: 25 February 2002 相似文献
127.
Further investigation into the properties of the Peirce-one space J1
corresponding to a weak*-closed inner ideal J in a JBW*-triple
A is carried out, and, in particular, it is shown that J1 contains
no non-trivial weak*-closed ideals.Received: 12 June 2002 相似文献
128.
Alexandre?MunnierEmail author 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2003,54(6):977-1000
This article deals with stability and small linear
oscillations of liquid bridges between fixed solid surfaces
(parallel plates, spheres, ...) under zero gravity. A general
investigation method for any kind of axisymmetric liquid bridge is
exposed but the author focus his work on the spherical liquid
bridge cases. In particular, he exposes a full theoretical study
of spherical liquid bridges between two spheres, plates and
cones. 相似文献
129.
We determine the Lie superalgebras that are graded by the
root system B(m,n) of the
orthosymplectic Lie superalgebra osp(2m +
1,2n).
Mathematics Subject Classification (2000) Primary 17B70, Secondary 17A70 相似文献
130.
The aim of this paper is to study necessary conditions for existence of weak solutions of the inequality