On the prescribing q curvature problem on s3

... If Q satisfies: ˆ ˆ the nondegeracy condition |rQ|2 + | Q| 2 > 0, the degree condition deg( | | ) 6= 0, where (x) = ˆ ˆ Q( x)x + rQ(x), then there exists some ✏0 > such that the equation PS3 u + Qu ... study the prescribing Q- curvature problem on 3-dimensional sphere S3 The equation we need to solve is PS3 u + Qu =0 (1.9) u>0 where PS3 u = S3 u + S3 u 15 u 16 For...

Ngày tải lên: 09/09/2015, 08:17

... Proposition Let x0 = (1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, ) x1 = (1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, ) x2 = (1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, ) x3 = (1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, ... (1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, ) x4 = (1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, ) x5 = (1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0...

Ngày tải lên: 13/02/2014, 04:20

... paper we study the weighted q-Bernstein polynomials to express the fermionic q-integral on ℤp and investigate some new identities on the weighted q-Euler numbers related to the weighted q-Bernstein ... http://www.journalofinequalitiesandapplications.com/content/2011/1/64 Page of Theorem is important to study the relations between q-Bernstein polynomials an...

Ngày tải lên: 20/06/2014, 22:20

... equations, diagonal systems and variational integrals Manuscripta Math 55, 467–486 (1986) doi:10.1007/BF01186659 Rutkauskas, S: On the first boundary value problem for the class of elliptic systems ... degenerating at an inner point Math Model Anal 6(1), 147–155 (2001) Rutkauskas, S: On the Dirichlet problem for a system of degenerate at a point ell...

Ngày tải lên: 21/06/2014, 00:20

... of higher-order generalized q-Genocchi numbers and polynomials attached to χ by using the generating function of those numbers and polynomials Generalized q-Genocchi Numbers and Polynomials For ... relation on the analogue of the Apostol-Bernoulli and the analogue of the Apostol-Genocchi polynomials, ” Applied Mathematical Sciences, vol 3, no 5...

Ngày tải lên: 21/06/2014, 05:20

... Journal of Inequalities and Applications Let UD p be the space of uniformly differentiable functions on p For f ∈ UD the p- adic q-integral on p, which is called the bosonic q-integral on p, is ... Kim, and Y Simsek, A study on the p- adic integral representation on p associated with Bernstein and Bernoulli polynomials,” Advances in Difference...

Ngày tải lên: 21/06/2014, 06:20

... Carlitz’s type q-Bernoulli numbers and polynomials in the p-adic number field On the Generalized Higher-Order q-Bernoulli Numbers and Polynomials In this section, we assume that q ∈ Cp with |1 − q|p ... Abstract and Applied Analysis, vol 2008, Article ID 295307, pages, 2008 11 T Kim, Some identities on the q-Euler polynomials of higher order and q-Stirl...

Ngày tải lên: 21/06/2014, 07:20

... numbers and its derivatives,” Journal of Mathematical Analysis and Applications, vol 339, no 1, pp 598–608, 2008 13 T Kim, On the analogs of Euler numbers and polynomials associated with p-adic ... generalized twisted Bernoulli numbers and polynomials of higher order,” Journal of Computational Analysis and Applications, vol 12, pp 695–702, 2010 27 T Kim, On a q...

Ngày tải lên: 21/06/2014, 16:20

... systemic study of some formulas of the twisted q-extension of the generalized Euler numbers and polynomials of order k attached to χ On the Twisted q-Extension of the Generalized Euler Polynomials ... the generalized Euler numbers and polynomials of order k attached to χ 4 Advances in Difference Equations We firstly consider the twisted...

Ngày tải lên: 21/06/2014, 16:20

... the generalization of corresponding results for classical Riesz potentials, given in [11] The important properties of the nonisotropic Riesz potentials and theirs generalizations were studied ... t/q1 , then T is of type (pt , qt ), and T (pt ,qt ) ≤ T 1−t (p0 ,q0 ) t (p1 ,q1 ) T (1.17) The following theorem gives the condition of absolute convergence of the potent...

Ngày tải lên: 22/06/2014, 18:20

... Chapter Conclusions In this thesis, we studied the problem of the existence of conformal metrics on n + dimensional unit ball in Euclidean space with the prescribed mean curvature The major ... this thesis, we consider the case that the underlying manifold is the unit ball in the Euclidean space Let (B n+1 , gE ) be the n + (n ≥ 2) dimensional unit...

Ngày tải lên: 09/09/2015, 11:06

... machine m in the chromosome Chapter Introduction 1.1 Economic Lot Scheduling Problem The Economic Lot Scheduling Problem (ELSP) has received attentions from researchers for more than fifty years ... explored Upon completion, the solution associated with the latest upper bound is then the optimal solution to our problem This divide-and-conquer procedure is presented...

Ngày tải lên: 12/09/2015, 08:20

... at exponential fast rate 36 Chapter ATO Problem This indicates that an optimal solution of the SAA problem provides an exact optimal solution of the true problem The SAA approach is then applied ... idea of SAA is simple and natural The basic idea is that a random sample is generated and the expected value function is approximated by the corresponding sample average functi...

Ngày tải lên: 16/09/2015, 12:42

... prescribed scalar curvature equation on the standard sphere S n In the first part, we use the negative gradient flow equation for the prescribed scalar curvature equation to obtain existence theorems ... sequences for the prescribing scalar curvature on S n : aggregated blow- up and towering blow- up 27 Description of the main results 29...

Ngày tải lên: 30/10/2015, 17:08

... the arrival of the aircraft at the gate and the departure of the aircraft from the gate 15 There are two basic constraints in the model The first Constraint (2.1) is the “Single Assignment Constraint”, ... Quadratic Airport Gate Assignment Models 2.1 Introducing Airport Gate Assignment Problem Airport Gate Assignment Problem, the assignment of...

Ngày tải lên: 27/11/2015, 11:26