[PDF] Top 20 The Method of Subsuper Solutions for Weighted Laplacian Equation Boundary Value Problems

... px-Laplacian problems, maybe px-Laplacian does not have the first eigenvalue and the first ...px-Laplacian problems, even if the first eigenfunction of px-Laplacian ...of ... See full document

... of solutions for boundary value problems of fractional differential equations with p-Laplacian by the use of techniques of nonlinear analysis [–], upper and lower solutions ... See full document

... variational problems with variable exponent growth conditions is a new and interesting ...these problems, for example, 1–18 . Such problems arise from the study of electrorheological fluids, image ... See full document

... In [], Liu et al. studied the solvability of the Caputo fractional differential equation with boundary value conditions involving the p-Laplacian operator. The existence and uniqueness of the ... See full document

... three solutions when λ lies in exactly determined two open intervals, respectively; more- over, all these solutions are uniformly bounded with respect to λ belonging to one of the two open ... See full document

... of problems, the models of the p-Laplacian equation are introduced, see ...the boundary value problems of frac- tional p-Laplacian equations have been obtained, see ... See full document

... positive solutions for nonlinear differential equations on time scales have been studied by some authors [7-11], and there has been some merging of existence of positive solutions to BVPs with ... See full document

... Fractional differential equations have excited, in the past decades, a considerable interest both in mathematics and in applications. They were used in the mathematical modeling of systems and processes occurring in many ... See full document

... p-Laplacian boundary value problems for ordinary differential equations, finite differ- ence equations and dynamic equations have been studied extensively, but there are few papers dealing with ... See full document

... order boundary value problems (FOBVPs) with p-Laplacian operator is one of the most popular class of the FDEs which have been recently considered by many scientists as regards the existence ... See full document

... positive solutions for boundary value problem ...iterative method, some existence results of positive solu- tions are ...approximation solutions are interesting and need more ... See full document

... lower solutions method associated with the Schauder fixed point theorem, the existence results of at least one positive solution for the above fractional q-difference boundary value problem with ... See full document

... For the uniqueness of solution for fractional differential equation (2.24), we apply theorem (2.6). In equation (2.24), we have α = β = 2.5, ξ = γ = 1/2, a(t) = t, f (u(t)) = √ u(t) it is clear that (2.24) ... See full document

... blow-up solutions to the initial boundary value problems of equations with or without nonlocal boundary conditions; see [–] and references ...initial boundary value ... See full document

... positive solutions for the boundary value problems (BVPs) of the difference equations has been extensively studied; to mention a few references, see [–] and the references ...positive ... See full document

... The study of differential equations and variational problems with nonstandard p(r)- growth conditions is a new and interesting topic. It arises from nonlinear elasticity the- ory, electro-rheological fluids, image ... See full document

... operator equation which has the same solutions of ()-() in the three cases, re- ...of solutions for system ()-() or () with (), () and () when σ < , m– = α – δ = ... See full document

... take a negative value. (ii) The existence of a positive solution for the class of φ-Laplacian differential equations with a nonhomogeneous boundary condition is proved. Notice that the existence of a ... See full document

... a method of asymptotic approximations to solutions of mixed boundary value problems for the Laplacian in a three-dimensional domain with many perforations of arbitrary shape, ... See full document

... This paper is divided into four sections. In the second section, we will do some preparation. In the third section, we will discuss the existence of solutions of 1.1-1.2, when f satisfies sub-p − − 1 growth ... See full document