Publication
Positive solutions of fourth order problems with clamped beam boundary conditions
| dc.contributor.author | Cabada, Alberto | |
| dc.contributor.author | Enguiça, Ricardo Roque | |
| dc.date.accessioned | 2013-02-16T17:17:41Z | |
| dc.date.available | 2013-02-16T17:17:41Z | |
| dc.date.issued | 2011-07 | |
| dc.description.abstract | n this paper we make an exhaustive study of the fourth order linear operator u((4)) + M u coupled with the clamped beam conditions u(0) = u(1) = u'(0) = u'(1) = 0. We obtain the exact values on the real parameter M for which this operator satisfies an anti-maximum principle. Such a property is equivalent to the fact that the related Green's function is nonnegative in [0, 1] x [0, 1]. When M < 0 we obtain the best estimate by means of the spectral theory and for M > 0 we attain the optimal value by studying the oscillation properties of the solutions of the homogeneous equation u((4)) + M u = 0. By using the method of lower and upper solutions we deduce the existence of solutions for nonlinear problems coupled with this boundary conditions. (C) 2011 Elsevier Ltd. All rights reserved. | por |
| dc.identifier.citation | CABADA, Alberto; ENGUIÇA, Ricardo Roque - Positive solutions of fourth order problems with clamped beam boundary conditions. Nonlinear Analysis-Theory Methods & Applications. ISSN 0362-546X. Vol. 74, n.º 10 (2011) p. 3112-3122. | por |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/2229 | |
| dc.language.iso | por | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Pergamon-Elsevier Science LTD | por |
| dc.subject | Clamped Beam | por |
| dc.subject | Fourth Order Boundary Value Problem | por |
| dc.subject | Maximum Principles | por |
| dc.subject | Maximum Principles | por |
| dc.title | Positive solutions of fourth order problems with clamped beam boundary conditions | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Oxford | por |
| oaire.citation.endPage | 3122 | por |
| oaire.citation.issue | 10 | por |
| oaire.citation.startPage | 3112 | por |
| oaire.citation.title | Nonlinear Analysis-Theory Methods & Applications | por |
| oaire.citation.volume | 74 | por |
| rcaap.rights | restrictedAccess | por |
| rcaap.type | article | por |
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