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.DG2025
Inequalities between Dirichlet and Neumann Eigenvalues on Surfaces
Bobo Hua, Florentin Münch, Haohang Zhang
For a bounded Lipschitz domain in a Riemannian surface satisfying certain curvature condition, we prove that where ( resp.) is th…