Biharmonic eigen-value problems and Lp estimates
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 ei...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171290000692 |
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| _version_ | 1832558457037783040 |
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| author | Chaitan P. Gupta Ying C. Kwong |
| author_facet | Chaitan P. Gupta Ying C. Kwong |
| author_sort | Chaitan P. Gupta |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-777c27caedf14532840504fe3b10afe5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-777c27caedf14532840504fe3b10afe52025-02-03T01:32:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113346948010.1155/S0161171290000692Biharmonic eigen-value problems and Lp estimatesChaitan P. Gupta0Ying C. Kwong1Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USADepartment of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USABiharmonic 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.http://dx.doi.org/10.1155/S0161171290000692 |
| spellingShingle | Chaitan P. Gupta Ying C. Kwong Biharmonic eigen-value problems and Lp estimates International Journal of Mathematics and Mathematical Sciences |
| title | Biharmonic eigen-value problems and Lp estimates |
| title_full | Biharmonic eigen-value problems and Lp estimates |
| title_fullStr | Biharmonic eigen-value problems and Lp estimates |
| title_full_unstemmed | Biharmonic eigen-value problems and Lp estimates |
| title_short | Biharmonic eigen-value problems and Lp estimates |
| title_sort | biharmonic eigen value problems and lp estimates |
| url | http://dx.doi.org/10.1155/S0161171290000692 |
| work_keys_str_mv | AT chaitanpgupta biharmoniceigenvalueproblemsandlpestimates AT yingckwong biharmoniceigenvalueproblemsandlpestimates |