Uniqueness of critical points and maximum principles of the singular minimal surface equation
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DOI: 10.1016/j.jde.2018.09.024
Abstract: Abstract We consider a smooth solution u > 0 of the singular minimal surface equation 1 + | D u | 2 div ( D u / 1 + | D u | 2 )… read more here.
Keywords: surface equation; singular minimal; maximum principles; minimal surface ... See more keywords
An operator theoretic approach to uniform (anti-)maximum principles
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DOI: 10.1016/j.jde.2021.11.037
Abstract: Maximum principles and uniform anti-maximum principles are a ubiquitous topic in PDE theory that is closely tied to the Krein–Rutman theorem and kernel estimates for resolvents. We take up a classical idea of Takáč –… read more here.
Keywords: uniform anti; approach uniform; operator theoretic; theoretic approach ... See more keywords