Báo cáo hóa học: " Research Article Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient" docx

... Corporation Boundary Value Problems Volume 2007, Article ID 47218, 12 pages doi:10.1155/2007/47218 Research Article Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence ... solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong...

Ngày tải lên: 22/06/2014, 19:20

... cones, and obtained the existence of at least two positive solutions under reasonable conditions. In 6, the authors established the existence of sign-changing solutions and positive solutions ... 11 for further information. Theorem 1.1 see 11. Assume that cone P is normal and operator A satisfies the following conditions: B 1  A : P h → P h is increasing in P h ,...

Ngày tải lên: 21/06/2014, 11:20

... Results In this work, we present new existence and localization results for X-solutions to problem P, under CAR condition on f. Our approach is based on regularity results for the solutions ... defined, continuous, and order preserving. Consequently, K is a compact operator. On the other hand, it is clear that the fixed points of K are the solutions of problem...

Ngày tải lên: 21/06/2014, 17:20

... A, B, and C are some given real constants and fx, u is a continuous function on R 2 , is motivated by the study for stationary solutions of the sixth-order parabolic differential equations ∂u ∂t  ∂ 6 u ∂x 6  ... way, the existence of spatial periodic solutions of both the EFK equation and the SH equation was studied by Peletier and Troy 4, Peletier and Rottsch...

Ngày tải lên: 21/06/2014, 11:20

... investigate the corresponding difference equations with nonlinear boundary conditions. Our ideas arise from 1, 3. In 1993, Brykalov 1 discussed the existence of two different solutions to the nonlinear ... of 1 are valid for functional differential equations in general form and for some cases of unbounded right-hand side of the equation see 1, Remark 3 and 5, ...

Ngày tải lên: 22/06/2014, 11:20

... Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Application, Birkh ¨ auser, Boston, Mass, USA, 2001. 3 M. Bohner and A. Peterson, Advances in Dynamic Equations on ... 8–10 and references therein. 2 Boundary Value Problems In this paper, we are concerned with the existence of at least one positive solution for the following second-or...

Ngày tải lên: 21/06/2014, 20:20

... known results for differential equations when the time scale is chosen as the set of the real numbers. The main method is based on the Mawhin’s continuation theorem. 1. Introduction In the past ... 1.1 by Mawhin’s continuation theorem of coincidence degree theory 3. The author obtained a new result for the existence of periodic solutions and investigated the...

Ngày tải lên: 21/06/2014, 20:20

... be deduced by considering the reduced form 1.5 under some additional conditions. In this study, we first give a theorem on the reducibility of 1.1 into the form of 1.5 and then obtain asymptotic ... of the zero solution of 1.1. 2. Reducible systems In this section, we give a theorem on the structure of the matrix Sn, and provide an example for illustration. The...

Ngày tải lên: 22/06/2014, 11:20

... calculus theory, the coincidence degree theory, and the Lyapunov functional method, we obtain sufficient conditions for the existence and global exponential stability of anti-periodic solutions for ... “Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities,” Nonlinear Analysis, vol. 43, pp. 233–251, 2001. 28 J. Y. Shao, “Anti-periodic...

Ngày tải lên: 21/06/2014, 07:20

... σ/N for N ≥ 2, σ>−2andforN  1, σ>−1, p ∗ m,σ  m  1forN  1, σ ≤−1. This p ∗ m,σ is called the critical exponent. On the other hand, 6–9 and so on. study the inhomogeneous equations ... Difference Equations For quasi-linear parabolic equations, the authors of 1–5 and so on. study the homogeneous equations i.e., fx ≡ 0in1.1. Baras and Kersner 1...

Ngày tải lên: 21/06/2014, 11:20