[PDF] Top 20 Nonexistence of positive solutions of an integral system with weights

... Huang et al. [13] proved the existence, radial symmetry and monotonicity under some assumptions of p, q, a, and b. Furthermore, using Doubling Lemma indicated in [14], which is an extension of an idea of Hu [15], Chen ... See full document

... the monotonicity and nonexistence of positive solutions to equation (0.1) under some integrability conditions when r > n– n α . In (Zhuo and Li in J. Math. Anal. Appl. 381:392-401, 2011), the ... See full document

... of positive solutions for p-Laplacian problems with weights,” Communications on Pure and Applied Analysis, ...“Multiple solutions for a degenerate elliptic equation involving sublinear terms ... See full document

... Riemann-Stieltjes integral boundary conditions and generalized p-Laplacian which involves two different ...and nonexistence of positive solutions for the fractional system are received, ... See full document

... Recently, there has been much attention on the fractional differential equations because of their applications in a variety of different areas of sciences including physics, chem- istry, engineering etc. Thus, intensive ... See full document

... entire positive solutions for a (p, q)-Laplacian elliptic system of equations with a gradient ...for nonexistence of entire large positive solutions and existence of infinitely ... See full document

... [2] F. Cìrstea and V. Rădulescu, “Entire Solutions Blowing up at Infinity for Semilinear Elliptic Systems,” Journal de Mathématiques Pures et Appliquées, Vol. 81, No. 9, 2002, pp. 827-846. ... See full document

... Riemann-Stieltjes integral, as in the form of   u(s) dη(s), where η is of bounded variation, that is, dη can be a signed measure, includes as special cases the multi-point boundary value problems and ... See full document

... Houari [15]. Also, he showed that the local solution obtained in [2] is global and decay of solutions [14]. Recently, Han and Wang [4] obtained the local existence, global existence and blow up of the solution of ... See full document

... equations system in a bounded domain is studied. We prove that the solutions with positive initial energy blow up in finite time under some ...of solutions are ... See full document

... existence, nonexistence, uniqueness, and multiplicity of positive solutions for a class of eigenvalue problems of nonlinear fractional differential equations with a nonlinear integral term and ... See full document

... In recent years, since the fractional differential equation has been widely applied in var- ious areas such as mathematics, physics, chemistry, biology, and so forth, lots of books on fractional calculus have appeared, ... See full document

... The paper is organized in the following fashion. In Section , we provide some neces- sary background. In particular, we state some properties of the Green’s function associated with problem (.). In Section , we use a ... See full document

... Then, we conclude k v k≥ µM 4 D k (u, v) k> µ e 0 M 4 D k (u, v) k=k (u, v) k and so, k (u, v) k=k u k + k v k≥k v k>k (u, v) k, which is a contradiction. Therefore the boundary value problem (1)-(2) has no ... See full document

... The theory of boundary value problems for ordinary differential equations and functional differential equations plays an important role in many research fields of science and engi- neering; for details, see [–] and the ... See full document

... of positive solutions for (S)-(BC) has been studied in [] by using the Guo-Krasnosel’skii fixed point ...of positive solutions of the system (S) with λ = μ = , f (t, u, v) = f ˜ (t, ... See full document

... with integral boundary conditions arise in various areas of ap- plied mathematics and physics like heat conduction, chemical engineering, underground water flow, and thermo-elasticity and plasma ...For ... See full document

... The paper deals with the existence and nonexistence of positive solutions for a class of p-Laplacian systems. We investigate the effect of the size of the domain on the existence of positive ... See full document

... nonexistence of positive solutions for a type of nonlinear fractional-order two-point boundary value problems. The main tool is a fixed point theorem of the cone expansion and compression of ... See full document

... Our next results give criteria for the existence of one, more than one, or no positive solutions of the eigenvalue problem (1.1)-(1.2) in terms of the superlinear or sublinear behavior of f (t,x). For the ... See full document