Completeness and existence of bounded biharmonic functions on a riemannian manifold
Completeness and existence of bounded biharmonic functions on a riemannian manifold
A.S. Galbraith has communicated to us the following intriguing problem: does the completeness of a manifold imply, or is it implied by, the emptiness of the class H 2 B of bounded nonharmonic biharmonic functions? Among all manifolds considered thus far in biharmonic classification theory (cf. Bibliography), those that are …