共查询到20条相似文献,搜索用时 0 毫秒
1.
Jiabao Su 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2012,21(2):51-62
We study the existence and multiplicity of nontrivial radial solutions of the quasilinear equation
{ll-div(|?u|p-2?u)+V(|x|)|u|p-2u=Q(|x|)f(u), x ? \mathbbRN,u(x) ? 0, |x|? ¥\left\{\begin{array}{ll}-{div}(|\nabla u|^{p-2}\nabla u)+V(|x|)|u|^{p-2}u=Q(|x|)f(u),\quad x\in \mathbb{R}^N,\\u(x) \rightarrow 0, \quad |x|\rightarrow \infty \end{array}\right. 相似文献
2.
Lars Olsen 《Monatshefte für Mathematik》2011,25(2):89-117
In this paper we study the Hausdorff and packing dimensions and the Rényi dimensions of random self-affine multifractal Sierpinski
sponges in
\mathbbRd{\mathbb{R}^{d}}. 相似文献
3.
Rational proper holomorphic maps from the unit ball in ℂ2 into the unit ball ℂ
N
with degree 2 are studied. Any such map must be equivalent to one of the four types of maps.
Dedicated to Professor Sheng GONG on the occasion of his 75th birthday 相似文献
4.
Given a finite subset
A{\cal A}
of an additive group
\Bbb G{\Bbb G}
such as
\Bbb Zn{\Bbb Z}^n
or
\Bbb Rn{\Bbb R}^n
, we are interested in efficient covering of
\Bbb G{\Bbb G}
by translates of
A{\cal A}
, and efficient packing of translates of
A{\cal A}
in
\Bbb G{\Bbb G}
. A set
S ì \Bbb G{\cal S} \subset {\Bbb G}
provides a covering if the translates
A + s{\cal A} + s
with
s ? Ss \in {\cal S}
cover
\Bbb G{\Bbb G}
(i.e., their union is
\Bbb G{\Bbb G}
), and the covering will be efficient if
S{\cal S}
has small density in
\Bbb G{\Bbb G}
. On the other hand, a set
S ì \Bbb G{\cal S} \subset {\Bbb G}
will provide a packing if the translated sets
A + s{\cal A} + s
with
s ? Ss \in {\cal S}
are mutually disjoint, and the packing is efficient if
S{\cal S}
has large density.
In the present part (I) we will derive some facts on these concepts when
\Bbb G = \Bbb Zn{\Bbb G} = {\Bbb Z}^n
, and give estimates for the minimal covering densities and maximal packing densities of finite sets
A ì \Bbb Zn{\cal A} \subset {\Bbb Z}^n
. In part (II) we will again deal with
\Bbb G = \Bbb Zn{\Bbb G} = {\Bbb Z}^n
, and study the behaviour of such densities under linear transformations. In part (III) we will turn to
\Bbb G = \Bbb Rn{\Bbb G} = {\Bbb R}^n
. 相似文献
5.
In 1938 Morse and Hedlund proved that a function is periodic if the number of different n-blocks with does not exceed n for some n. In 1940 they studied such functions f with for all positive integers n. These are closely related to Sturmian sequences, which occur in many branches of mathematics, computer science and physics.
Recently the authors studied k-dimensional functions with , where is the set of different vectors with for a given configuration . In this paper, we characterize functions satisfying for all configurations . Our proof requires a separation theorem for convex sets of lattice points, which may be of independent interest.
Received July 20, 1998 相似文献
6.
Let , n ≥ 3, be a smoothly bounded domain. Suppose that Ω admits a smooth defining function which is plurisubharmonic on the boundary
of Ω. Then a Diederich–Forn?ss exponent can be chosen arbitrarily close to 1, and the closure of Ω admits a Stein neighborhood
basis.
Research of J. E. Forn?ss was partially supported by an NSF grant. Research of A.-K. Herbig was supported by FWF grant P19147. 相似文献
7.
Fabien Morel 《K-Theory》2005,35(1-2):1-68
8.
An orthogonal complex structure on a domain in is a complex structure which is integrable and is compatible with the Euclidean metric. This gives rise to a first order
system of partial differential equations which is conformally invariant. We prove two Liouville-type uniqueness theorems for
solutions of this system, and use these to give an alternative proof of the classification of compact locally conformally
flat Hermitian surfaces first proved by Pontecorvo. We also give a classification of non-degenerate quadrics in under the action of the conformal group SO
°(1, 5). Using this classification, we show that generic quadrics give rise to orthogonal complex structures defined on the
complement of unknotted solid tori which are smoothly embedded in .
To Nigel Hitchin on the occasion of his 60th birthday.
This work was partially supported by MIUR (Metriche Riemanniane e Varietà Differenziabili, PRIN05)
and NSF Grant DMS-0503506. 相似文献
9.
Pierangelo Marcati Manuela Molinari 《NoDEA : Nonlinear Differential Equations and Applications》2009,6(2):119-132
In this paper we first prove short time existence of a classical solution for the problem which describes the evolution by
Gaussian curvature of a strictly convex hypersurface in . Then we give a proof of the existence of a viscosity solution for this problem in such a way as to define a generalized
motion existing for each time.
Received November 24, 1997 相似文献
10.
S. N. Vasil’ev 《Proceedings of the Steklov Institute of Mathematics》2009,266(Z1):218-226
The sharp Jackson inequality is proved for the space of periodic functions of many variables with a mean-square norm for an
arbitrary modulus of continuity generated by a difference operator with constant coefficients. 相似文献
11.
In this paper, we establish several decidability results for pseudovariety joins of the form
\sf Vú\sf W{\sf V}\vee{\sf W}
, where
\sf V{\sf V}
is a subpseudovariety of
\sf J{\sf J}
or the pseudovariety
\sf R{\sf R}
. Here,
\sf J{\sf J}
(resp.
\sf R{\sf R}
) denotes the pseudovariety of all
J{\cal J}
-trivial (resp.
?{\cal R}
-trivial) semigroups. In particular, we show that the pseudovariety
\sf Vú\sf W{\sf V}\vee{\sf W}
is (completely) κ-tame when
\sf V{\sf V}
is a subpseudovariety of
\sf J{\sf J}
with decidable κ-word problem and
\sf W{\sf W}
is (completely) κ-tame. Moreover, if
\sf W{\sf W}
is a κ-tame pseudovariety which satisfies the pseudoidentity x1 ⋯ xryω+1ztω = x1 ⋯ xryztω, then we prove that
\sf Rú\sf W{\sf R}\vee{\sf W}
is also κ-tame. In particular the joins
\sf Rú\sf Ab{\sf R}\vee{\sf Ab}
,
\sf Rú\sf G{\sf R}\vee{\sf G}
,
\sf Rú\sf OCR{\sf R}\vee{\sf OCR}
, and
\sf Rú\sf CR{\sf R}\vee{\sf CR}
are decidable. 相似文献
12.
The notion of pseudo-randomness of subsets of
\mathbb Zn{\mathbb Z_n} is defined, and the measures of pseudo-randomness are introduced. Then a construction (based on the use of hybrid character
sums) will be presented for subsets of
\mathbb Zp{\mathbb Z_p} with strong pseudo-random properties. 相似文献
13.
14.
Corentin Pontreau 《Monatshefte für Mathematik》2009,342(2):267-281
We prove a sharper so-called Mordell-Lang plus Bogomolov type result for curves lying in the two-dimensional linear torus.
We mainly follow the approach of Rémond in (Comp Math 134:337–366, 2002), using Vojta and Mumford type inequalities. In the
special case we consider, we improve Rémond’s main result using a better Bogomolov property and an elementary arithmetic Bézout
theorem. 相似文献
15.
16.
17.
Debashish Bose Shobha Madan Parasar Mohanty Saurabh Shrivastava 《Proceedings Mathematical Sciences》2009,119(4):501-512
In this paper we prove the bilinear analogue of de Leeuw’s result for periodic bilinear multipliers and some Jodeit type extension
results for bilinear multipliers. 相似文献
18.
Dan Yasaki 《Selecta Mathematica, New Series》2006,12(3-4):541-564
Let X = Γ \G/ K be an arithmetic quotient of a symmetric space of non-compact type. In the case that G has
-rank 1, we construct Γ-equivariant deformation retractions of D = G/K onto a set D0. We prove that D0 is a spine, having dimension equal to the virtual cohomological dimension of Γ. In fact, there is a (k − 1)-parameter family of such deformation retractions, where k is the number of Γ -conjugacy classes of rational parabolic subgroups of G. The construction of the spine also gives a way to construct an exact fundamental domain for Γ. 相似文献
19.
20.
By a totally regular parallelism of the real projective 3-space
P3:=PG(3, \mathbb R){\Pi_3:={{\rm PG}}(3, \mathbb {R})} we mean a family T of regular spreads such that each line of Π
3 is contained in exactly one spread of T. For the investigation of totally regular parallelisms the authors mainly employ Klein’s correspondence λ of line geometry and the polarity π
5 associated with the Klein quadric H
5 (for details see Chaps. 1 and 3). The λ-image of a totally regular parallelism T is a hyperflock of H
5, i.e., a family H of elliptic subquadrics of H
5 such that each point of H
5 is on exactly one subquadric of H. Moreover, {p5(span l(X))|X ? T}=:HT{\{\pi_5({{\rm span}} \,\lambda(\mathcal {X}))\vert\mathcal {X}\in\bf{T}\}=:\mathcal {H}_{\bf{T}}} is a hyperflock determining line set, i.e., a set Z{\mathcal {Z}} of 0-secants of H
5 such that each tangential hyperplane of H
5 contains exactly one line of Z{\mathcal {Z}} . We say that dim(span HT)=:dT{{{\rm dim}}({{\rm span}}\,\mathcal {H}_{\bf{T}})=:d_{\bf{T}}} is the dimension of
T and that T is a d
T
- parallelism. Clifford parallelisms and 2-parallelisms coincide. The examples of non-Clifford parallelisms exhibited in Betten
and Riesinger [Result Math 47:226–241, 2004; Adv Geom 8:11–32, 2008; J Geom (to appear)] are totally regular and of dimension
3. If G{\mathcal{G}} is a hyperflock determining line set, then {l-1 (p5(X) ?H5) | X ? G}{\{\lambda^{-1}\,{\rm (}\pi_5(X){\,\cap H_5)\,|\, X\in\mathcal{G}\}}} is a totally regular parallelism. In the present paper the authors construct examples of topological (see Definition 1.1)
4- and 5-parallelisms via hyperflock determining line sets. 相似文献
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