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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 9
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Original Articles

On the existence and stability of higher order Dirichlet problems

Marek Galewski Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, PolandCorrespondence[email protected]
Pages 1077-1086 | Received 08 Feb 2007, Accepted 30 May 2007, Published online: 04 Oct 2007
 
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Abstract

We provide the existence and the stability results for higher order Dirichlet problems with convex nonlinearity which satisfies general local growth conditions. We construct a dual variational method and investigate relations between primal action functional and dual action functional.

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