Biharmonic eigen-value problems and L p estimates

Chaitan P. Gupta and Ying C. Kwong

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-12

Abstract:

Biharmonic eigen-values arise in the study of static equilibrium of an elastic body which has been suitably secured at the boundary. This paper is concerned mainly with the existence of and L p -estimates for the solutions of certain biharmonic boundary value problems which are related to the first eigen-values of the associated biharmonic operators. The methods used in this paper consist of the a-priori estimates due to Agmon-Douglas-Nirenberg and P. L. Lions along with the Fredholm theory for compact operators.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:575162

DOI: 10.1155/S0161171290000692

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