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The strong maximum principle. (English) Zbl 1193.35029

Summary: This paper reviews some of the most paradigmatic results on the minimum and the maximum principles for a class of second-order linear elliptic operators, and establishes some new extremely sharp connections between them.

MSC:

35J25 Boundary value problems for second-order elliptic equations
35B50 Maximum principles in context of PDEs
47F05 General theory of partial differential operators
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