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61.
62.
63.
Nikolaos Efstathiou Sofronidis 《Proceedings of the American Mathematical Society》2002,130(4):1177-1182
The purpose of this paper is to show that given any non-negative real number , the set of entire functions whose order is equal to is -complete, and the set of all sequences of entire functions whose orders converge to is -complete.
64.
On , n?1 and n≠2, we prove the existence of a sharp constant for Sobolev inequalities with higher fractional derivatives. Let s be a positive real number. For n>2s and any function satisfies where the operator (?Δ)s in Fourier spaces is defined by . To cite this article: A. Cotsiolis, N.C. Tavoularis, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 801–804. 相似文献
65.
Nikolaos Halidias 《Journal of Mathematical Analysis and Applications》2002,276(1):13-27
In this paper we prove two existence theorems for elliptic problems with discontinuities. The first one is a noncoercive Dirichlet problem and the second one is a Neumann problem. We do not use the method of upper and lower solutions. For Neumann problems we assume that f is nondecreasing. We use the critical point theory for locally Lipschitz functionals. 相似文献
66.
Nikolaos Askitas 《manuscripta mathematica》1996,89(1):35-47
We prove that the action of the orthogonal group of an integral, unimodular lattice whose rank and signature satisfy a certain
indefiniteness condition acts transitively on pairs of mutually orthogonal elements with the same isometric invariants. 相似文献
67.
When a glassy polymer containing a uniformly dispersed solute is brought in contact with a penetrant, solute diffusion will be associated with the transport mechanism and penetration velocity of the penetrant in the polymer. Analysis and prediction of mechanisms of diffusional solute release may be obtained through a new dimensionless number, the swelling interface number, Sw, which compares the relative mobilities of the penetrant and the solute in the presence of macromolecular relaxations in the polymer. It is shown that a sufficient and necessary criterion for time-independent diffusional solute release rates from these swellable systems is that the Sw be smaller than 10?2. The swelling interface number Sw may be related to easily determined structural and thermodynamic parameters of the solute/polymer/penetrant system. Preliminary experimental results of dynamic water swelling of poly(2-hydroxyethyl methacrylate-co-methyl methacrylate) and diffusional release of theophylline from initially glassy copolymers show that decreasing values of Sw are related to increased pseudo-case-II transport kinetics of the solute. 相似文献
68.
Nikolaos A. Peppas Robert Gurny Eric Doelker Pierre Buri 《Journal of membrane science》1980,7(3):241-253
A drug diffusion model for the case of diffusion of an initially uniformly distributed drug through a polymeric matrix is presented and solved. Drug diffusion from a single surface is analyzed for the case of countercurrent diffusion of a solvent which is thermodynamically compatible with the polymer. Due to swelling, considerable volume expansion is observed leading to a moving-boundary diffusion problem. Drug concentration profiles within the polymer and drug release rates can be determined. The results are in agreement with experimental data obtained for the system of KCl distributed in hydrophilic hydroxypropyl methyl cellulose matrices, in the form of tablets. 相似文献
69.
On , we prove the existence of sharp logarithmic Sobolev inequalities with higher fractional derivatives. Let s be a positive real number. Any function f ∈ satisfies with be any number and where the operators in Fourier spaces are defined by . To cite this article: A. Cotsiolis, N.K. Tavoularis, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
70.
John?Ellis Nikolaos?E.?MavromatosEmail author Dimitri?V.?Nanopoulos 《General Relativity and Gravitation》2005,37(10):1665-1670
Generic cosmological models in non-critical string theory have a time-dependent dilaton background at a late epoch. The cosmological
deceleration parameter q
0 is given by the square of the string coupling, g
s
2, up to a negative sign. Hence the expansion of the Universe must accelerate eventually, and the observed value of q
0 corresponds to g
s
2 ∼ 0.6. In this scenario, the string coupling is asymptotically free at large times, but its present rate of change is imperceptibly
small.
First Award in the 2005 Essay Competition of the Gravity Research Foundation. - Ed. 相似文献