3 papers
math.AP2026
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…
math.AP2026
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…
math.SP2025
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 const…