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1.
In this paper we consider two nonlinear elliptic problems driven by the p-Laplacian and having a nonsmooth potential (hemivariational inequalities). The first is an eigenvalue problem and we prove
that if the parameter λ < λ2 = the second eigenvalue of the p-Laplacian, then there exists a nontrivial smooth solution. The second problem is resonant both near zero and near infinity
for the principal eigenvalue of the p-Laplacian. For this problem we prove a multiplicity result. Our approach is variational based on the nonsmooth critical point
theory.
Second author is Corresponding author. 相似文献
2.
In this paper a method for the resolution of the differential equation of the Jacobi vector fields in the manifold V
1 = Sp(2)/SU(2) is exposed. These results are applied to determine areas and volumes of geodesic spheres and balls.
Work partially supported by DGI (Spain) and FEDER Projects MTM 2004-06015-C02-01 and MTM 2007-65852 (first author) and by
Research Project PGIDIT05PXIB16601PR (second author).
Authors’ addresses: A. M. Naveira, Departamento de Geometría y Topología. Facultad de Matemáticas, Avda. Andrés Estellés,
N1, 46100 – Burjassot, Valencia, Spain; A. D. Tarrío Tobar, E. U. Arquitectura Técnica, Campus A Zapateira. Universidad de
A Coru?a, 15192 – A Coru?a, Spain 相似文献
3.
A subgroup of a finite group G is said to be S-quasinormal in G if it permutes with every Sylow subgroup of G. In this paper we give a characterization of a finite group G under the assumption that every subgroup of the generalized Fitting subgroup of prime order is S-quasinormal in G. 相似文献
4.
Let H be an atomic monoid. For let denote the set of all with the following property: There exist atoms (irreducible elements) u
1, …, u
k
, v
1, …, v
m
∈ H with u
1· … · u
k
= v
1 · … · v
m
. We show that for a large class of noetherian domains satisfying some natural finiteness conditions, the sets are almost arithmetical progressions. Suppose that H is a Krull monoid with finite cyclic class group G such that every class contains a prime (this includes the multiplicative monoids of rings of integers of algebraic number
fields). We show that, for every , max which settles Problem 38 in [4].
Authors’ addresses: W. Gao, Center for Combinatorics, Nankai University, Tianjin 300071, P.R. China; A. Geroldinger, Institut
für Mathematik und Wissenschaftliches Rechnen, Karl-Franzens-Universit?t Graz, Heinrichstra?e 36, 8010 Graz, Austria 相似文献
5.
6.
We study extensions of p-local finite groups where the kernel is a p-group. In particular, we construct examples of saturated fusion systems which do not come from finite groups, but which have normal p-subgroups such that is the fusion system of a finite group. One of the tools used to do this is the concept of a “transporter system”, which
is modelled on the transporter category of a finite group, and is more general than a linking system.
B. Oliver is partially supported by UMR 7539 of the CNRS.
J. Ventura is partially supported by FCT/POCTI/FEDER and grant PDCT/MAT/58497/2004. 相似文献
7.
Phugraveng Hö Hài 《代数通讯》2013,41(3):1085-1117
A presentation for an arbitrary group extension is well known. A generalization of the work by Conway et al. (Group Tensor1972, 25, 405–418) on central extensions has been given by Baik et al. (J. Group Theor.). As an application of this we discuss necessary and sufficient conditions for the presentation of the central extension to be p-Cockcroft, where p is a prime or 0. Finally, we present some examples of this result. 相似文献
8.
Carlo Magagna 《Monatshefte für Mathematik》2008,153(1):59-81
For a positive integer N, we define the N-rank of a non singular integer d × d matrix A to be the maximum integer r such that there exists a minor of order r whose determinant is not divisible by N. Given a positive integer r, we study the growth of the minimum integer k, such that A
k
− I has N-rank at most r, as a function of N. We show that this integer k goes to infinity faster than log N if and only if for every eigenvalue λ which is not a root of unity, the sum of the dimensions of the eigenspaces relative
to eigenvalues which are multiplicatively dependent with λ and are not roots of unity, plus the dimensions of the eigenspaces
relative to eigenvalues which are roots of unity, does not exceed d − r − 1. This result will be applied to recover a recent theorem of Luca and Shparlinski [6] which states that the group of rational
points of an ordinary elliptic curve E over a finite field with q
n
elements is almost cyclic, in a sense to be defined, when n goes to infinity. We will also extend this result to the product of two elliptic curves over a finite field and show that
the orders of the groups of
rational points of two non isogenous elliptic curves are almost coprime when n approaches infinity.
Author’s address: Dipartimento di Matematica e Informatica, Via Delle Scienze 206, 33100 Udine, Italy 相似文献
9.
For many orbital measures μ, on SU(n), we show that either μk ∈ L2 or μk is singular to L1. The least k for which μk ∈ L2 is determined and is shown to be the minimum k for which the k-fold product of the conjugacy class supporting the measure has positive measure. It would be interesting to know if all orbital
measures satisfy this dichotomy. 相似文献
10.
Let f be a cusp form of the Hecke space
and let L
f
be the normalized L-function associated to f. Recently it has been proved that L
f
belongs to an axiomatically defined class of functions
. We prove that when λ ≤ 2, L
f
is always almost primitive, i.e., that if L
f
is written as product of functions in
, then one factor, at least, has degree zeros and hence is a Dirichlet polynomial. Moreover, we prove that if
then L
f
is also primitive, i.e., that if L
f
= F
1
F
2 then F
1 (or F
2) is constant; for
the factorization of non-primitive functions is studied and examples of non-primitive functions are given. At last, the subset
of functions f for which L
f
belongs to the more familiar extended Selberg class
is characterized and for these functions we obtain analogous conclusions about their (almost) primitivity in
. 相似文献
11.
Winfried Kohnen 《Monatshefte für Mathematik》2004,143(2):163-167
We point out that the formalism of the trace map and reduction modulo p can be used to give a short proof for the fact first proved by Ogg that is not a Weierstrass point on X0(pM) where p is a prime not dividing M and the genus of X0(M) is zero. 相似文献
12.
Jeffrey D. Vaaler 《Monatshefte für Mathematik》2008,154(4):323-343
We prove an upper bound for the Mahler measure of the Wronskian of a collection of N linearly independent polynomials with complex coefficients. If the coefficients of the polynomials are algebraic numbers
we obtain an inequality for the absolute Weil heights of the roots of the polynomials. This later inequality is analogous
to the abc inequality for polynomials, and also has applications to Diophantine problems.
Research supported in part by the National Science Foundation (DMS-06-03282) and the Erwin Schr?dinger Institute.
Author’s address: Department of Mathematics, University of Texas, Austin, Texas 78712, USA 相似文献
13.
A set of vectors is k-independent if all its subsets with no more than k elements are linearly independent. We obtain a result concerning the maximal possible cardinality Ind
q
(n, k) of a k-independent set of vectors in the n-dimensional vector space F
q
n
over the finite field F
q
of order q. Namely, we give a necessary and sufficient condition for Ind
q
(n, k) = n + 1. We conclude with some pertinent remarks re applications of our results to codes, graphs and hypercubes.
Supported, in part by grants EP/C000285, NSF-DMS-0439734 and NSF-DMS-0555839. S. B. Damelin thanks the Institute for Mathematics
and Applications for their hospitality. 相似文献
14.
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle T
1
M of a Riemannian manifold M and we study some of their special properties related to the Levi-Civita connection. More precisely, we give the necessary
and sufficient conditions for a constructed contact metric structure to be K-contact, Sasakian, to satisfy some variational conditions or to define a strongly pseudo-convex CR-structure. The obtained
results generalize classical theorems on the standard contact metric structure of T
1
M.
Author supported by funds of the University of Lecce. 相似文献
15.
Bao Qin Li 《Mathematische Zeitschrift》2008,258(4):763-771
We show that meromorphic solutions f, g of f
2 + g
2 = 1 in C2 must be constant, if f
z2 and g
z1 have the same zeros (counting multiplicities). We also apply the result to characterize meromorphic solutions of certain
nonlinear partial differential equations. 相似文献
16.
Let V be a finite dimensional p-adic vector space and let τ be an operator in GL(V). A probability measure μ on V is called τ-decomposable or
if μ = τ(μ)* ρ for some probability measure ρ on V. Moreover, when τ is contracting, if ρ is infinitely divisible, so is μ, and if ρ is embeddable, so is μ. These two subclasses
of
are denoted by L
0(τ) and L
0
#(τ) respectively. When μ is infinitely divisible τ-decomposable for a contracting τ and has no idempotent factors, then it
is τ-semi-selfdecomposable or operator semi-selfdecomposable. In this paper, sequences of decreasing subclasses of the above
mentioned three classes,
, are introduced and several properties and characterizations are studied. The results obtained here are p-adic vector space versions of those given for probability measures on Euclidean spaces. 相似文献
17.
László Verhóczki 《Monatshefte für Mathematik》2004,141(4):323-335
In the present paper we discuss in detail the cohomogeneity one isometric actions of the Lie groups SU(3) × SU(3) and SU(3) on the exceptional compact symmetric spaces G2 and G2/SO(4), respectively. We show that the principal orbits coincide with the tubular hypersurfaces around the totally geodesic singular orbits, and the symmetric spaces G2 and G2/SO(4) can be thought of as compact tubes around SU(3) and P2, respectively. Moreover, we determine the radii of these tubes and describe the shape operators of the principal orbits. Finally, we apply these results to compute the volumes of the two symmetric spaces.The author was partially supported by the Hungarian National Science and Research Foundation OTKA T032478. 相似文献
18.
Marian Ioan Munteanu 《Monatshefte für Mathematik》2007,150(4):333-342
In this paper we study doubly warped product CR submanifolds in locally conformal K?hler manifolds, and we found a B.Y. Chen’s type inequality for the second fundamental
form of these submanifolds.
Beneficiary of a CNR-NATO Advanced Research Fellowship pos. 216.2167 Prot. n. 0015506. 相似文献
19.
Benjamin Steinberg 《Monatshefte für Mathematik》2003,138(2):159-170
In this paper, we study partial group actions on 2-complexes. Our results include a characterization, in terms of generating
sets, of when a partial group action on a connected 2-complex has a connected globalization. Using this result, we give a
short combinatorial proof that a group acting without fixed points on a connected 2-complex, with finite quotient, is finitely
generated. This result is then generalized to characterize finitely generated groups as precisely those groups having a partial
action, without fixed points, on a finite tree, with a connected globalization. Finally, using Bass-Serre theory, we determine
when a partial group action on a graph has a globalization which is a tree.
The author was supported in part by NSF-NATO postdoctoral fellowship DGE-9972697, by Praxis XXI scholarship BPD 16306 98 and
by FCT through Centro de Matemática da Universidade do Porto.
Received September 20, 2001; in revised form June 25, 2002 相似文献
20.
Cindy De Volder 《Monatshefte für Mathematik》2004,143(1):61-80
We consider a rational surface Xr, obtained by blowing up 2 along a curvilinear zero-dimensional subscheme of length r of the regular locus of a reduced irreducible plane curve of degree d, with d 4; and we give sufficient conditions for d-standard classes to be very ample (resp. base point free or non special) on such a rational surface Xr.Postdoctoral Fellow of the Fund for Scientific Research-Flanders (Belgium). 相似文献