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

✍ Scribed by Peter Takáč

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
301 KB
Volume
201
Category
Article
ISSN
0022-247X

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✦ Synopsis

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.

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