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Further, the book also provides a unified review of recent results in the literature, and creates a bridge with geometry by studying the validity of weak and strong maximum principles at infinity, in the spirit of Omori-Yau’s Hessian and Laplacian principles and subsequent improvements.
- Some Geometric Motivations. - An Overview of Our Results. - Preliminaries from Riemannian Geometry. - Radialization and Fake Distances. - Boundary Value Problems for Nonlinear ODEs. - Comparison Results and the Finite Maximum Principle. - Weak Maximum Principle and Liouville’s Property. - StrongMaximum Principle and Khas’minskii Potentials. - The Compact Support Principle. - Keller–Osserman, A Priori Estimates and the (SL) Property.
“The presentation of the book is very well ordered and Keller-Osserman type conditions are investigated in detail. … This is a very good book in this area of research.” (Shu-Yu Hsu, zbMATH 1470.58002, 2021)