Hopf′s Lemma and Anti-maximum Principle in General Domains

✍ Scribed by I. Birindelli

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 611 KB
Volume: 119
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1995.1098

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An Abstract Form of Maximum and Anti-max

An Abstract Form of Maximum and Anti-maximum Principles of Hopf's Type

✍ Peter Takáč 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 301 KB

We consider an abstract linear elliptic boundary value problem Au y u s yf Ž . y 1 F0 in a strongly ordered Banach space X. The resolvent I y A of the closed linear operator A : X ª X is assumed to be strongly positive and compact for all ) , where denotes the principal eigenvalue of A.