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 ...

Let $D$ denote the fundamental domain for the full modular group. Suppose that $f \in L^2(D)$ satisfies the wave equation $\Delta f = \lambda f$, where $\Delta$ is ...

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 ...