Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations

Abstract

The purpose of the paper is to review a variety of recent developments in the theory of positive solutions of general linear elliptic and parabolic equations of second-order on noncompact Riemannian manifolds, and to point out a number of their consequences.

arXiv comment37 pages, revised version, some recent results were added

References in corpus (2)

• A ground state alternative for singular Schrödinger operators
• Ground state alternative for p-Laplacian with potential term

Cited by in corpus (1)

• Twelve Tales in Mathematical Physics: An Expanded Heinemann Prize Lecture