## On nonnegative solutions for semilinear elliptic inequalities on complete Riemannian manifolds.

Title:  On nonnegative solutions for semilinear elliptic inequalities on complete Riemannian manifolds.

Speaker : Prof. Alexander Grigor'yan.

Date: 16:00-17:00pm, December 5, 2013 (Thursday).

Place: Conference Room A304, Department of Mathematical Sciences

Abstract: We provide optimal condition in terms of the volume growth of a Riemannian manifold that ensures that any non-negative solution to the inequality $\Delta u + u^{\sigma}\le 0$ on this manifold is identically equal to 0.

ContactJiaxin Hu