Existence of positive solutions for m-Laplacian boundary value problems

Finite difference solution of a singular boundary value problem for the p-Laplace operator

“…In [13], this author considered the BVP (3) and (4) with N = 1, p ≥ 2 and obtained sufficient conditions for the existence of at least one positive solution. In [14], the same author has studied a more general equation, where the right-hand side depends also on g , and derived conditions for the uniqueness of positive solution to the corresponding BVP.…”

“…The values of σ and n for which the existence of solution is guaranteed depend on p. According to the Existence Theorem of [13], a sufficient condition for the existence of solution is σ ≥ 0, n − p + 1 < 0, p ≥ 2. On the other hand, uniqueness of solution in this case is guaranteed by Theorem 2.3 of [14].…”

Analytical-numerical investigation of a singular boundary value problem for a generalized Emden–Fowler equation

“…Boundary value problems for Eq. (1.4) with different kinds of boundary conditions have been investigated, for example, in [6,10,14]. Existence and uniqueness of positive solutions of singular boundary value problems of this kind have been studied by several authors.…”

Existence of Positive Solutions for Boundary Value Problems of Nonlinear Functional Difference Equation with p-Laplacian Operator

“…In recent years, boundary value problems of differential and difference equations have been studied widely and there are many excellent results (see Erbe and Wang [1], Grimm and Schmitt [2], Gustafson and Schmitt [3], Weng and Jiang [4], Weng and Tian [5], Wong [6], and Yang et al [7]). Weng and Guo [8] for a,b ∈ N and a < b.…”