Báo cáo hóa học: " Infinitely many sign-changing solutions for a Schrödinger equation" potx

... periodic solutions for some second-order differential systems with p(t)- Laplacian Liang Zhang, Xian Hua Tang * and Jing Chen * Correspondence: mathspaper@126.com School of Mathematical Sciences and ... operator d dt (| ˙ u(t ) | p(t)−2 ˙ u(t ) ) is said to be p(t)-Laplacian, and becomes p-Laplacian when p(t) ≡ p (a constant). The p(t)-Laplacian possesses more compl icated nonlinearity t...

Ngày tải lên: 20/06/2014, 22:20

... p-Laplacian Pasquale Candito 1 and Giuseppina D’Agu`ı 2 1 DIMET University of Reggio Calabria, Via Graziella (Feo Di Vito), 89100 Reggio Calabria, Italy 2 Department of Mathematics of Messina, ... singular and nonsingular discrete problems via variational methods,” Nonlinear Analysis: Theory, Methods & Applications,vol. 58, no. 1-2, pp. 69–73, 2004. 5 R. P. Agarwal, K. Perera, and ... d...

Ngày tải lên: 21/06/2014, 07:20

... 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 ... Nonlinear Analysis: Theory, Methods & Applications, vol. 69, no. 4, pp. 1389–1395, 2008. 19 R. P. Agarwal and D. O’Regan, Singular Differential and Integral Equations with Applications,Kluw...

Ngày tải lên: 21/06/2014, 20:20

... 498–505, 1996. 13 A. V. Lair and A. W. Shaker, “Classical and weak solutions of a singular semilinear elliptic problem,” Journal of Mathematical Analysis and Applications, vol. 211, no. 2, pp. ... Boundary Value Problems The class of problems 1.1 appears in many nonlinear phenomena, for instance, in the theory of quasiregular and quasiconformal mappings 1–3, in the generalized...

Ngày tải lên: 21/06/2014, 20:20

... method of lower and upper solutions for a bending of an elastic beam equation,” Journal of Mathematical Analysis and Applications, vol. 248, no. 1, pp. 195–202, 2000. 5 Z. B. Bai and W. G. Ge, ... nonlinear fourth-order beam equations,” Journal of Mathematical Analysis and Applications, vol. 270, no. 2, pp. 357–368, 2002. 7 A. Cabada, “The method of lower and upper solutions for...

Ngày tải lên: 21/06/2014, 20:20

... in Mathematics, Springer, Berlin, Germany, 2000. 3 J. Chabrowski and Y. Fu, “Existence of solutions for px-Laplacian problems on a bounded domain,” Journal of Mathematical Analysis and Applications, ... Strauss-Lions type for the space W 1,px Ω,” Journal of Mathematical Analysis and Applications, vol. 255, no. 1, pp. 333–348, 2001. Journal of Inequalities and Applications 3 2....

Ngày tải lên: 22/06/2014, 03:20

... doi:10.1016/j. na.2004.03.010 4. Liu, SB, Li, SJ: Infinitely many solutions for a super elliptic equation. Acta Mathematica Sinica Chinese Series. 46, 625–630 (2003) 5. Salvatore, A: Sign-changing solutions ... superlinear Schrödinger equation in the whole Euclidean space ℝ n .By using a suitable sign-changing critical point, we prove that the problem admits infinitely...

Ngày tải lên: 20/06/2014, 22:20

... mary@nwnu. edu.cn 1 Department of Mathematics, Northwest Normal University, Lanzhou, 730070, PR China Full list of author information is available at the end of the article Abstract We consider the boundary value ... RESEARCH Open Access Infinitely many solutions to superlinear second order m-point boundary value problems Ruyun Ma 1* , Chenghua Gao 1 and Xiaoqiang Chen 2 * Correspondenc...

Ngày tải lên: 21/06/2014, 01:20

... 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. ... slight modification to [8]. Lemma 3.2 Assume a Î N and f(t,u) satisfies (F1), then (H1) j(t ,a) vanishes at least once and at most finitely many times in (a, b (a) ), (H2) if 0...

Ngày tải lên: 20/06/2014, 22:20

... RESEARC H Open Access Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces Peiguo Zhang Correspondence: pgzhang0509@yahoo.cn Department ... existence of a positive solution for a class of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in abstract spaces. T...

Ngày tải lên: 21/06/2014, 00:20