A nonlinear boundary problem involving the p-bilaplacian operator
We show some new Sobolev's trace embedding that we apply to prove that the fourth-order nonlinear boundary conditions Δp2u+|u|p−2u=0 in Ω and −(∂/∂n)(|Δu|p−2Δu)=λρ|u|p−2u on ∂Ω possess at least one nondecreasing sequence of positive eigenvalues.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1525 |
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| _version_ | 1849305464534204416 |
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| author | Abdelouahed El Khalil Siham Kellati Abdelfattah Touzani |
| author_facet | Abdelouahed El Khalil Siham Kellati Abdelfattah Touzani |
| author_sort | Abdelouahed El Khalil |
| collection | DOAJ |
| description | We show some new Sobolev's trace embedding that we
apply to prove that the fourth-order nonlinear boundary conditions Δp2u+|u|p−2u=0 in Ω and −(∂/∂n)(|Δu|p−2Δu)=λρ|u|p−2u on ∂Ω possess at least one nondecreasing sequence of positive eigenvalues. |
| format | Article |
| id | doaj-art-0a1ab81172a449a4b5ca254f06fbab7e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0a1ab81172a449a4b5ca254f06fbab7e2025-08-20T03:55:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005101525153710.1155/IJMMS.2005.1525A nonlinear boundary problem involving the p-bilaplacian operatorAbdelouahed El Khalil0Siham Kellati1Abdelfattah Touzani2Department of Mathematics and Industrial Engineering, Polytechnic School of Montreal, Montreal, QC H3C 3A7, CanadaDepartment of Mathematics, Faculty of Sciences Dhar-Mahraz, University Sidi Med Ben Abdellah, P.O. Box 1796 Atlas, Fez 30000, MoroccoDepartment of Mathematics, Faculty of Sciences Dhar-Mahraz, University Sidi Med Ben Abdellah, P.O. Box 1796 Atlas, Fez 30000, MoroccoWe show some new Sobolev's trace embedding that we apply to prove that the fourth-order nonlinear boundary conditions Δp2u+|u|p−2u=0 in Ω and −(∂/∂n)(|Δu|p−2Δu)=λρ|u|p−2u on ∂Ω possess at least one nondecreasing sequence of positive eigenvalues.http://dx.doi.org/10.1155/IJMMS.2005.1525 |
| spellingShingle | Abdelouahed El Khalil Siham Kellati Abdelfattah Touzani A nonlinear boundary problem involving the p-bilaplacian operator International Journal of Mathematics and Mathematical Sciences |
| title | A nonlinear boundary problem involving the p-bilaplacian operator |
| title_full | A nonlinear boundary problem involving the p-bilaplacian operator |
| title_fullStr | A nonlinear boundary problem involving the p-bilaplacian operator |
| title_full_unstemmed | A nonlinear boundary problem involving the p-bilaplacian operator |
| title_short | A nonlinear boundary problem involving the p-bilaplacian operator |
| title_sort | nonlinear boundary problem involving the p bilaplacian operator |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1525 |
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