Biharmonic eigen-value problems and Lp estimates

Autor: Chaitan P. Gupta, Ying C. Kwong
Jazyk: angličtina
Rok vydání: 1990
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 13, Iss 3, Pp 469-480 (1990)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
14532840
DOI: 10.1155/S0161171290000692
Popis: 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 Lp-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.
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