5 papers
Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs
Yang Liu, Yong Lin, Haohang Zhang
This paper investigates the nonexistence of solutions to semilinear parabolic and hyperbolic inequalities with positive potentials on metric graphs, including both nonnegative solu…
Nonexistence results for semilinear elliptic equations on metric graphs
Yang Liu, Yong Lin, Haohang Zhang
In this paper, we study the nonexistence of solutions to semilinear elliptic equations with a positive potential on metric graphs. In particular, the Laplacian under consideration…
Repelling curvature via repelling Laplacian on positive connected signed graphs
Yong Lin, Shi Wan
The paper defines a positive semidefinite operator called repelling Laplacian on a positive connected signed graph where is an arbitrary positive number less than a constan…
Connection Heat Kernel On Connection Lattices And Connection Discrete Torus
Yong Lin, Shi Wan
By the connection graph we mean an underlying weighted graph with a connection which associates edge set with an orthogonal group. This paper centers its investigation on the conne…
Connection Laplacian on discrete tori with converging property
Yong Lin, Shi Wan, Haohang Zhang
This paper presents a comprehensive analysis of the spectral properties of the connection Laplacian for both real and discrete tori. We introduce novel methods to examine these eig…