Positive solutions for nonlinear elastic beam models

We give a negative answer to a conjecture of Korman on nonlinear elastic beam models. Moreover, by modifying the main conditions in the conjecture (generalizing the original ones at some points), we get positive results, that is, we obtain the existence of positive solutions for the models.

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Bibliographic Details
Main Author: Bendong Lou
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201004203
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author Bendong Lou
author_facet Bendong Lou
author_sort Bendong Lou
collection DOAJ
description We give a negative answer to a conjecture of Korman on nonlinear elastic beam models. Moreover, by modifying the main conditions in the conjecture (generalizing the original ones at some points), we get positive results, that is, we obtain the existence of positive solutions for the models.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2001-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-2593aea9769047f8a8105200613c7fb12025-02-03T01:13:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0127636537510.1155/S0161171201004203Positive solutions for nonlinear elastic beam modelsBendong Lou0Department of Mathematics, Shandong University, Jinan 250100, ChinaWe give a negative answer to a conjecture of Korman on nonlinear elastic beam models. Moreover, by modifying the main conditions in the conjecture (generalizing the original ones at some points), we get positive results, that is, we obtain the existence of positive solutions for the models.http://dx.doi.org/10.1155/S0161171201004203
spellingShingle Bendong Lou
Positive solutions for nonlinear elastic beam models
International Journal of Mathematics and Mathematical Sciences
title Positive solutions for nonlinear elastic beam models
title_full Positive solutions for nonlinear elastic beam models
title_fullStr Positive solutions for nonlinear elastic beam models
title_full_unstemmed Positive solutions for nonlinear elastic beam models
title_short Positive solutions for nonlinear elastic beam models
title_sort positive solutions for nonlinear elastic beam models
url http://dx.doi.org/10.1155/S0161171201004203
work_keys_str_mv AT bendonglou positivesolutionsfornonlinearelasticbeammodels