✦ LIBER ✦

Mountain Pass on a Closed Convex Set

✍ Scribed by Li Ma

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 115 KB
Volume: 205
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5227

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✦ Synopsis

A mountain pass lemma without the Palais᎐Smale condition on a closed convex subset of a Banach space is established. Then, we apply it to a semilinear elliptic partial differential equation to obtain one negative solution and a positive solution. Hence we generalize an early result of K.

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