paper

On Milnor's criterion for deciding whether a surface is hyperbolic or parabolic for biharmonic functions

arXiv:2502.05249

Abstract

In this paper we generalise a celebrated result of Milnor that characterises whether a rotationally symmetric surface is parabolic or hyperbolic to the case of biharmonic functions.

11 pages. Criticisms are more than welcome

On Milnor's criterion for deciding whether a surface is hyperbolic or parabolic for biharmonic functions · wovepaper