In this paper we provide‎ ‎existence results for positive solution to‎ ‎Dirichlet p(t)-Laplacian boundary value problems‎. ‎The sublinear and‎ ‎superlinear cases are considerd‎.

In this paper, we study the three-point boundary-value problem for a fourth-order one-dimensional p-Laplacian differential equation ` φp(u ′′(t)) ́′′ + a(t)f ` u(t) ́ = 0, t ∈ (0, 1), subject to the nonlinear boundary conditions: u(0) = ξu(1), u′(1) = ηu′(0), (φp(u ′′(0))′ = α1(φp(u ′′(δ))′, u′′(1) = p−1 p β1u ′′(δ), where φp(s) = |s|p−2s, p > 1. Using the five functional fixed point theorem due...

We investigate a class of singular m-point p-Laplacian boundary value problem on time scales with the sign changing nonlinearity. By using the well-known Schauder fixed point theorem and upper and lower solutions method, some new existence criteria for positive solutions of the boundary value problem are presented. These results are new even for the corresponding differential (T = R) and differ...

We consider the existence, multiplicity of positive solutions for the integral boundary value problem with φ-Laplacian φ u′ t ′ f t, u t , u′ t 0, t ∈ 0, 1 , u 0 ∫1 0 u r g r dr, u 1 ∫1 0 u r h r dr, where φ is an odd, increasing homeomorphism from R onto R. We show that it has at least one, two, or three positive solutions under some assumptions by applying fixed point theorems. The interestin...

In this article, we study five non-homogeneous multi-point boundary-value problems (BVPs) of second order differential equations with the onedimensional p-Laplacian. These problems have a common equation (in different function domains) and different boundary conditions. We find conditions that guarantee the existence of at least three positive solutions. The results obtained generalize several ...

Abstract. Inspired by the graph Laplacian and the point integral method, we introduce a novel weighted graph Laplacian method to compute a smooth interpolation function on a point cloud in high dimensional space. The numerical results in semi-supervised learning and image inpainting show that the weighted graph Laplacian is a reliable and efficient interpolation method. In addition, it is easy ...

The Laplacian gauge on the lattice is investigated numerically using U(1) and SU(2) gauge fields. The problem of Gribov ambiguities is addressed and to asses the smoothness of the gauge fixed configurations, they are compared to configurations fixed to the Landau gauge. The results of these comparisons with the Landau gauge indicate that Laplacian gauge fixing works very well in practice and of...

The aim of this paper is to investigate the existence anti-periodic solutions for a nonlinear coupled system $$\Psi -$$ Caputo fractional differential equations with $$p-$$ Laplacian operator in Banach space. proofs our main results are based on Mönch’s fixed point theorem and some basic tools calculus paired measures noncompactness. As an application, theoretical have been illustrated by provi...