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- W2463726517 abstract "The aim of this chapter is to introduce the Omori-Yau and the weak maximum principles. We begin with some analytical motivations of a general nature and we then proceed to introduce the various concepts, results and related discussions. In this process we follow a perspective quite different from the original approach of Omori and Yau. Indeed, we introduce a function theoretic formulation of the principle that does not tie it to curvature assumptions as in the pioneering works of Omori [210] and Yau [279] (see for instance the statement of Theorem 2.4 below). This formulation reaches a great advantage in applications as it will become crystal clear from the geometric and analytic results contained in the subsequent chapters. We then relax the original statement of the principle to obtain what we call the weak maximum principle." @default.
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- W2463726517 date "2016-01-01" @default.
- W2463726517 modified "2023-10-16" @default.
- W2463726517 title "The Omori-Yau Maximum Principle" @default.
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- W2463726517 doi "https://doi.org/10.1007/978-3-319-24337-5_2" @default.
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