Graph curvature and Laplacian operators form a vibrant area of research at the intersection of differential geometry and graph theory. The concept of graph curvature, inspired by classical Ricci ...

This is a preview. Log in through your library . Abstract ABSTRACT. We introduce the boundary integral operator induced from the fractional Laplace equation on the boundary of a bounded smooth domain.

In this paper, we consider the existence of weak solutions for some nonlinear elliptic problems with perturbed gradient under homogeneous Dirichlet boundary conditions. We apply the Galerkin ...