The Kazdan-Warner equation on canonically compactifiable graphs

Abstract

We study the Kazdan-Warner equation on canonically compactifiable graphs. These graphs are distinguished as analytic properties of Laplacians on these graphs carry a strong resemblance to Laplacians on open pre-compact manifolds.

References in corpus (6)

• Approximating L2-invariants, and the Atiyah conjecture
• Kazdan-Warner equation on graph in the negative case
• Time regularity and long-time behavior of parabolic $p$-Laplace equations on infinite graphs
• Parabolic theory of the discrete p-Laplace operator
• General Cheeger inequalities for p-Laplacians on graphs
• Kazdan-Warner equation on infinite graphs

Cited by in corpus (3)

• Metric Poincaré type inequalities and lower bounds on the infimum of the spectrum for graphs
• The $1$-Yamabe equation on graph
• A note on Liouville type equations on graphs