Applications of a Weighted Symmetrization Inequality to Elastic Membranes and Plates
<p>Abstract</p> <p>This paper is devoted to some applications of a weighted symmetrization inequality related to a second order boundary value problem. We first interpret the inequality in the context of elastic membranes, and observe that it lends itself to make a comparison betwe...
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2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/808693 |
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doaj-a451d7d84eee41eeba49e5299d45d5782020-11-25T01:27:05ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101808693Applications of a Weighted Symmetrization Inequality to Elastic Membranes and PlatesEmamizadeh Behrouz<p>Abstract</p> <p>This paper is devoted to some applications of a weighted symmetrization inequality related to a second order boundary value problem. We first interpret the inequality in the context of elastic membranes, and observe that it lends itself to make a comparison between the deflection of a membrane with a varying density with that of a membrane with a uniform density. Some mathematical consequences of the inequality including a stability result are presented. Moreover, a similar inequality where the underlying differential equation is of fourth order is also discussed.</p>http://www.journalofinequalitiesandapplications.com/content/2010/808693 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Emamizadeh Behrouz |
| spellingShingle |
Emamizadeh Behrouz Applications of a Weighted Symmetrization Inequality to Elastic Membranes and Plates Journal of Inequalities and Applications |
| author_facet |
Emamizadeh Behrouz |
| author_sort |
Emamizadeh Behrouz |
| title |
Applications of a Weighted Symmetrization Inequality to Elastic Membranes and Plates |
| title_short |
Applications of a Weighted Symmetrization Inequality to Elastic Membranes and Plates |
| title_full |
Applications of a Weighted Symmetrization Inequality to Elastic Membranes and Plates |
| title_fullStr |
Applications of a Weighted Symmetrization Inequality to Elastic Membranes and Plates |
| title_full_unstemmed |
Applications of a Weighted Symmetrization Inequality to Elastic Membranes and Plates |
| title_sort |
applications of a weighted symmetrization inequality to elastic membranes and plates |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2010-01-01 |
| description |
<p>Abstract</p> <p>This paper is devoted to some applications of a weighted symmetrization inequality related to a second order boundary value problem. We first interpret the inequality in the context of elastic membranes, and observe that it lends itself to make a comparison between the deflection of a membrane with a varying density with that of a membrane with a uniform density. Some mathematical consequences of the inequality including a stability result are presented. Moreover, a similar inequality where the underlying differential equation is of fourth order is also discussed.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2010/808693 |
| work_keys_str_mv |
AT emamizadehbehrouz applicationsofaweightedsymmetrizationinequalitytoelasticmembranesandplates |
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