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Title: Sign-changing solutions and multiplicity results for some quasi-linear elliptic Dirichlet problems (English)
Author: Omana, Rebecca Walo
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 48
Issue: 3
Year: 2007
Pages: 395-415
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Category: math
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Summary: In this paper we show some results of multiplicity and existence of sign-changing solutions using a mountain pass theorem in ordered intervals, for a class of quasi-linear elliptic Dirichlet problems. As a by product we construct a special pseudo-gradient vector field and a negative pseudo-gradient flow for the nondifferentiable functional associated to our class of problems. (English)
Keyword: sign-changing
Keyword: mountain-pass theorem
Keyword: ordered intervals
MSC: 35J20
MSC: 35J25
MSC: 35J60
MSC: 35J62
MSC: 35J65
idZBL: Zbl 1199.35104
idMR: MR2374123
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Date available: 2009-05-05T17:03:46Z
Last updated: 2012-05-01
Stable URL: http://hdl.handle.net/10338.dmlcz/119668
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