Some Inequalities for the Omori-Yau Maximum Principle

Abstract EN

We generalize A.

Borbély’s condition for the conclusion of the Omori-Yau maximum principle for theLaplace operator on a complete Riemannian manifold to a second-order linear semielliptic operator L with bounded coefficients and no zeroth order term.

Also, we consider a new sufficient condition for the existence of a tamed exhaustion function.

From these results, we may remark that the existence of a tamed exhaustion function is more general than the hypotheses in the version of the Omori-Yau maximum principle that was given by A.

Ratto, M.

Rigoli, and A.

G.

Setti.