Báo cáo hóa học: " Research Article Multiple Solutions for a Class of p x -Laplacian Systems" ppt

... Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2009, Article ID 191649, 12 pages doi:10.1155/2009/191649 Research Article Multiple Solutions for a Class of p x -Laplacian ... 333–348, 2001. Journal of Inequalities and Applications 3 2. Preliminaries First we recall some basic properties of variable exponent spaces L p x Ω and var...

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... Rahmat Ali Khan Centre for Advanced Mathematics and Physics, Campus of College of Electrical and Mechanical Engineering, National University of Sciences and Technology, Peshawar Road, Rawalpindi ... that A 1 – A 3  holds. Then T n : P × P → P × P is completely continuous. Proof. Clearly, for any x, y ∈ P × P, A n x, y,B n x, y ∈ P. We show that the operator A...

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... direction approach to multiple objective quadratic-linear programming,” European Journal of Operational Research, vol. 102, no. 3, pp. 601–610, 1997. Journal of Inequalities and Applications 7 Step 3. ... Journal of Inequalities and Applications, vol. 2009, Article ID 970723, 16 pages, 2009. 9 J. Xu and J. Li, A class of stochastic optimization problems with one quadratic an...

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... pages doi:10.1155/2010/570932 Research Article Nodal Solutions for a Class of Fourth-Order Two-Point Boundary Value Problems Jia Xu 1, 2 and XiaoLing Han 1 1 Department of Mathematics, Northwest Normal University, Lanzhou ... Applied Mathematics and Computation, vol. 168, no. 2, pp. 1219–1231, 2005. 9 R. Ma, “Nodal solutions for a fourth-order two-point boundary value...

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... R 2 × R and have the maximal growth on t which allows to treat problem P variationally, Δ is the Laplace operator. Recently, there exists an extensive bibliography in the study of elliptic problem ... have a nontrivial critical point of the functional Iu, v and conclude the proof of Theorem 2.2. G. Zhang and S. Liu 3 As the potential V x and the nonlinearity f x, t are asymptotic t...

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... storage and virtual servers that ICT companies can access on demand. 7. Broadband Telecommunications and Applications The proposed Australian NBN (National Broadband Net- work) offers great opportunities ... White Papers, “Evaluating and enhancing green prac- tices with cisco catalyst switching,” 2009. [8] A. J. S. Chandrakant D. Patel, “Cost model for planning, development and operation o...

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... kinds of eigenvalues of a linear transformation,” Proceedings of the National Academy of Sciences of the United States of America, vol. 35, pp. 408–411, 1949. Journal of Inequalities and Applications ... “Generalized convexity and inequalities,” Journal of Mathematical Analysis and Applications, vol. 335, no. 2, pp. 1294–1308, 2007. 18 A. W. Marshall and I. Olkin, Inequal...

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... x p > 1 ,x p 1 > 1 ,x p 2 < 1 ,x p 3 > 1; 4 x p > 1 ,x p 1 > 1 ,x p 2 < 1 ,x p 3 < 1; 5 x p > 1 ,x p 1 < 1 ,x p 2 > 1 ,x p 3 > 1; 6 x p > 1 ,x p 1 < 1 ,x p 2 > ... 1; 10 x p < 1 ,x p 1 > 1 ,x p 2 > 1 ,x p 3 < 1; 11 x p < 1 ,x p 1 > 1 ,x p 2 < 1 ,x p 3 > 1; ...

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... invariant the op erator ᏸ. References [1] A. E. Kogoj and E. Lanconelli, “An invariant Harnack inequality for a class of hypoelliptic ultra- parabolic equations,” Mediterranean Journal of Mathematics, ...  A. E. Kogoj and E. Lanconelli 9 Remark 2.9. The class of our stationary operators ᏸ 0 also contains “parabolic”-typ e op- erators like, for example, t he following “forwa...

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