Báo cáo hóa học: " Uniqueness of positive solutions to a class of semilinear elliptic equations" potx

... u(t, a) has a unique c ritical point c (a) in (a, b (a )), and at this point, u(t, a) obtains a local maximum value. Lemma 3.1 Assume that (F2) holds, then j(t, a) >0for all t Î (a, c (a) ). Proof. We ... 2011:38 http://www.boundaryvalueproblems.com/content/2011/1/38 Page 4 of 9 Since τ (a) to be the last zero of j(t, a )in (a, b (a) ), the behavior of j(t, a) in(τ (a) ,...

Ngày tải lên: 20/06/2014, 22:20

... article as: Caballero et al.: On existence and uniqueness of positive solutions to a class of fractional boundary value problems. Boundary Value Problems 2011 2011:25. Caballero et al. Boundary ... Kilbas, AA: Fractional Integral and Derivative, Theory and Applications. Gordon and Breach, Yverdon, Switzerland (1993) 9. Miller, KS, Ross, B: An Introduc...

Ngày tải lên: 20/06/2014, 22:20

... article as: Caballero et al.: On existence and uniqueness of positive solutions to a class of fractional boundary value problems. Boundary Value Problems 2011 2011:25. Caballero et al. Boundary ... Kilbas, AA: Fractional Integral and Derivative, Theory and Applications. Gordon and Breach, Yverdon, Switzerland (1993) 9. Miller, KS, Ross, B: An Introduc...

Ngày tải lên: 21/06/2014, 00:20

... Positive Solutions to a Class of Singular Elastic Beam Equations Huiqin Lu School of Mathematical Sciences, Shandong Normal University , Jinan, 250014 Shandong, China Correspondence should be addressed ... Z. Bai, “The method of lower and upper solutions for a bending of an elastic beam equation,” Journal of Mathematical Analysis and Applications, vol. 24...

Ngày tải lên: 21/06/2014, 05:20

... constraints for the expectation method. 5. Final Remarks In this paper, a class of stochastic bi-criteria optimization problems was studied by a new hybrid method where the chance-constrained ... management problem,” Journal of Inequalities and Applications, vol. 2009, Article ID 970723, 16 pages, 2009. 9 J. Xu and J. Li, A class of stochastic optimization...

Ngày tải lên: 21/06/2014, 07:20

... 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...

Ngày tải lên: 21/06/2014, 16:20

... Corporation Boundary Value Problems Volume 2009, Article ID 273063, 18 pages doi:10.1155/2009/273063 Research Article Positive Solutions for a Class of Coupled System of Singular Three-Point Boundary Value ... H. L ¨ u, H. Yu, and Y. Liu, Positive solutions for singular boundary value problems of a coupled system of differential equation...

Ngày tải lên: 21/06/2014, 20:20

... Perera, and D. R. Vivero, “Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations, ” Advances in Difference Equations, ... induction. Hindawi Publishing Corporation Boundary Value Problems Volume 2009, Article ID 937064, 19 pages doi:10.1155/2009/937064 Research Article Positive Solutions...

Ngày tải lên: 21/06/2014, 20:20

... existence of a nontrivial solution for a class of subcritical elliptic systems with indefinite weights in R 2 . The proofs base on Trudinger-Moser inequality and a generalized linking theorem introduced ... the proofs of our main results cannot rely on classical min-max results. Combining a generalized linking theorem introduced by Kryszewski and Szulkin 12 an...

Ngày tải lên: 21/06/2014, 22:20

... and Engineering, Academic Press, New York, NY, USA, 1979. 19 S H. Wu, “Generalization and sharpness of the power means inequality and their applications,” Journal of Mathematical Analysis and ... Mathematical Analysis and Applications, vol. 335, no. 2, pp. 1294–1308, 2007. 18 A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications, vol...

Ngày tải lên: 22/06/2014, 02:20

... 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...

Ngày tải lên: 22/06/2014, 03:20

... x v n−1 x k n−2 x j n−3  . 3.10 Hindawi Publishing Corporation Advances in Difference Equations Volume 2008, Article ID 678402, 13 pages doi:10.1155/2008/678402 Research Article Dynamical Properties for a Class of Fourth-Order Nonlinear ... “Qualitative properties for a fourth-order rational difference equation,” Journal of Mathematical Analysis and Applicatio...

Ngày tải lên: 22/06/2014, 06:20

... pages doi:10.1155/2007/48232 Research Article Liouville Theorems for a Class of Linear Second-Order Operators with Nonnegative Characteristic Form Alessia Elisabetta Kogoj and Ermanno Lanconelli Received 1 August ... invariant the op erator ᏸ. References [1] A. E. Kogoj and E. Lanconelli, “An invariant Harnack inequality for a class of hypoelliptic ultra-...

Ngày tải lên: 22/06/2014, 19:20