... hand a choice ofa Cartan subalgebra t⊆b defines an4An action ofa Lie algebra a on a variety X is an action of a on OXby derivations.Equivalently, it is a Lie algebra homomorphism from a to ... sufficiently large positivecharacteristic. Next, one finds that for any smooth variety this algebra of differential operators is an Azumaya algebra on the cotangent bundle. In thecase of the flag variety ... AzumayaalgebrasDXand τ∗ν(DX) are canonically equivalent.Proof. Recall that to establish an equivalence between two Azumaya al-gebras A, A on a scheme Y (i.e. an equivalence between...
... each year.save2buy / Mortgage Saver / HeadStart / EasiSaver Accounts Not available for new applicants Gross*%All balances 0.10Pace / Beanstalk / Scene / Regular Savings Account / Agent Saver ... than two withdrawals from the BonusInterest Account are made in a calendar year an additional interest bonus of 0.25% will be paid, calculated on the average daily balance in the account up to ... Agent Saver / Instant Access / Regular Saver / Tusa AccountsNot available for new applicants Gross*%All balances 0.01Save Direct Account Not available for new applicants Gross*%e0.01...
... R1−αΛ12+α2θ2L2, Annals of Mathematics Formation of singularities fora transport equation with nonlocal velocity By Antonio C´ordoba, Diego C´ordoba, and Marco A. Fontelos 1380 ANTONIO ... 715–724. FORMATION OF SINGULARITIES FORA TRANSPORT EQUATION1379numerical results showed that, up to very high values of k, this asymptoticbehavior is compatible with the formation ofa curvature ... for the 1D analog (1.6).The system (1.4) and (1.5) with σ = 0 has the very interesting property of being ill-posed for general initial data. A linear analysis of small perturbations of planar...
... determined.Available epidemiological data addressing the impli-cation of PAH, in general, as a causal factor in thepathogeny of metabolic disorders are currently toofew to draw any definitive ... adenocarcinoma, lymphoreticulartumours, hepatomas, mammary adenocarcinomas) [17].B [a] P has also been shown to display immunotoxicproperties that affect macrophage function [18] andincrease local inflammatory ... incubated with the indicated concentrations of ACTH. In six separate experiments, the mean FFA concentration measured inthe incubation media in absence of any pharmacological agents (basal lipolysis)...
... frailty. Exploratory factoranalysis (EFA) reduced the data toa smaller number of factors and was subjected to confirmatory factor analysis(CFA)which restricted the model by fitting the EFA-driven ... proposeafrailtymodeldevel-oped from factor analysis (FA), a rob ust analytical tech-nique which uses latent variables as a means of datareduction to represent a wide range of attributes/varia-bility ... variable‘ angina’ has a factor loading of 0.550 on the general(frailty) factor and a loading of 0.619 on its speci fic fac-tor (Cardiovascular symptoms/disease) with both factorsindependent of each...
... and polynomial decay fora quasilinear viscoelastic problem. Nonlinear Anal. 68,785–793 (2007)8. Messaoudi, SA: General decay of solutions ofa viscoelastic equation. J. Math. Anal. Appl. 341, ... Numerical Simulation of LargeScale Complex Systems, School of Mathematical Sciences, NanjingNormal University, Nanjing 210046,PR ChinaFull list of author information isavailable at the end of ... displacements of waves. This problem arises in the theory of vis-coelastic and describes the interaction of two scalar fields, we can refer to Cavalcantiet al. [1], Messaoudi and Tatar [2], Renardy et al....
... Mathematics, Nanjing University of Aeronautics and Astronautics,Nanjing 210016, P. R. China∗Corresponding author: wang-fanglei@hotmail.comEmail address:YA: anykna@nuaa.edu.cnAbstractThis article ... continuous and fhas subcritical growth, the above functional is of class C1in H. We shall apply thefamous mountain pass theorem to show the existence ofa nontrivial critical point of functional ... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Existence and multiplicity of solutions for a...
... −div(|∇u|p(x)−2∇u) is said to be the p(x)-Laplacian, and becomes p-Laplacian when p(x) ≡ p (a constant). The p(x)-Laplacian possesses more complicatednonlinearities than the p-Laplacian; for example, it ... Theory and NonlinearBoundary Value Problems. Chapman and Hall/CRC, Boca Raton (2005)[34] Zhao, JF: Structure Theory of Banach Spaces (in Chinese). Wuhan University Press,Wuhan (1991)[35] Garcia ... mathematical modeling of stationary thermo-rheological viscousflows of non-Newtonian fluids and in the mathematical description of the pro cesses fil-tration of an ideal baro-tropic gas through a porous...
... difference equations,” Journal of Mathematical Analysis and Applications, vol. 322, no. 2, pp.930–956, 2006.13 E. Thandapani and I. M. Arockiasamy, “Fourth-order nonlinear oscillations of difference ... Applicable Analysis, vol. 59, no. 1–4, pp. 225–231, 1995.6 Z. Bai and H. Wang, “On positive solutions of some nonlinear fourth-order beam equations,” Journal of Mathematical Analysis and Applications, ... existence of solutions for the boundary value problems of fourth-order differential equations.Because of applications in many areas for difference equations, in recent years, therehas been an increased...
... TDisHeadquartertrPigeon PigeonDisaster areaAFigure 1: System view of headquarter and disaster area.also called the deadline ofa message in the following part of this paper. A key question ... fixed at 4 hours and the effect of size of disaster area is shown. When the disaster area is verysmall, ρMaxcan be as large as 0.81; as the size of disasterarea increases, the incurred travel ... points of the arrival of the tail message of kthtrip and the head message of (k +1)thtrip. It is reasonable to estimate that the waiting of thehead message of the (k +1)thtrip starts at 1/(2λ)...
... px,qx-LaplacianS. Ogras, R. A. Mashiyev, M. Avci, and Z. YucedagDepartment of Mathematics, Dicle University, 21280 Diyarbakir, TurkeyCorrespondence should be addressed to R. A. Mashiyev, mrabil@dicle.edu.trReceived ... well-known p-Laplacianoperator. However, the px-Laplace operator possesses more complicated nonlinearity thanp-Laplace operator due to the fact that Δpxis not homogeneous. This fact implies ... of the calculus of variations and elasticity theory,” IzvestiyaAkademii Nauk SSSR. Seriya Matematicheskaya, vol. 50, no. 4, pp. 675–710, 1986 Russian.14 C. O. Alves and M. A. Souto, “Existence...
... of Mathematical Analysis and Applications, vol. 333, no. 2, pp. 591–603, 2007.12 Q. Zhang, “Existence of radial solutions for px-Laplacian equations inRN,” Journal of MathematicalAnalysis and ... Methods & Applications, vol. 52, no. 2, pp. 585–594, 2003.6 X L. Fan, Q. Zhang, and D. Zhao, “Eigenvalues of px-Laplacian Dirichlet problem,” Journal of Mathematical Analysis and Applications, ... Journal of Inequalities and ApplicationsThe study of differential equations and variational problems with variable exponentgrowth conditions is a new and interesting topic. Many results have...
... Department of Mathematics, Southeast University, Nanjing 210096, China; College of Mathematics and Physics, Nanjing University of Information Science and Technology,Nanjing 210044, ChinaEmail ... “Periodic solutions of evolution m-laplacian equations with a nonlinear convec-tion term,” International Journal of Mathematics and Mathematical Sciences, vol. 2007, ArticleID 27368, 10 pages, 2007.Wenjun ... Mathematical Analysis and Applications, vol. 228, no. 2, pp.483–494, 1998.[7] S. L. Chen, “The extinction behavior of the solutions fora class of reaction-diffusion equations,”Applied Mathematics and...
... Kovalevsky and F. Nicolosi, “On the sets of boundedness of solutions fora class of degen-erate nonlinear elliptic four th-order equations with L1-data,” Fundamentalnaya I PrikladnayaMatematika, ... Elliptic Equations of Higher Order, Naukova Dumka, Kiev, Ukraine,1973.[12] O. A. Ladyzhenskaya and N. N. Ural’tseva, Linear and Quasilinear Elliptic Equations,AcademicPress, New York, NY, USA, 1968.S. ... S. Bonafede and S. DAsero, Hăolder continuity of solutions fora class of nonlinear elliptic vari-ational inequalities of high order,” Nonlinear Analysis. Theory, Methods & Applications,...