Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition
We prove the simplicity and isolation of the first eigenvalue for the problem Δ pu = |u| p-2u in a bounded smooth domain Ω 〈 ℝ N, with a nonlinear boundary condition given by |∇u| p-2∂u/∂v = λ |u| p-2u on the boundary of the domain. Copyright © 2002 Hindawi Publishing Corporation.
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Artículo publishedVersion |
| Publicado: |
2002
|
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10853375_v7_n5_p287_Martinez http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v7_n5_p287_Martinez_oai |
| Aporte de: |
| id |
I28-R145-paper_10853375_v7_n5_p287_Martinez_oai |
|---|---|
| record_format |
dspace |
| spelling |
I28-R145-paper_10853375_v7_n5_p287_Martinez_oai2020-10-19 Martínez, S. Rossi, J.D. 2002 We prove the simplicity and isolation of the first eigenvalue for the problem Δ pu = |u| p-2u in a bounded smooth domain Ω 〈 ℝ N, with a nonlinear boundary condition given by |∇u| p-2∂u/∂v = λ |u| p-2u on the boundary of the domain. Copyright © 2002 Hindawi Publishing Corporation. Fil:Martínez, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_10853375_v7_n5_p287_Martinez info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Abstr. Appl. Anal. 2002;7(5):287-293 Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v7_n5_p287_Martinez_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| description |
We prove the simplicity and isolation of the first eigenvalue for the problem Δ pu = |u| p-2u in a bounded smooth domain Ω 〈 ℝ N, with a nonlinear boundary condition given by |∇u| p-2∂u/∂v = λ |u| p-2u on the boundary of the domain. Copyright © 2002 Hindawi Publishing Corporation. |
| format |
Artículo Artículo publishedVersion |
| author |
Martínez, S. Rossi, J.D. |
| spellingShingle |
Martínez, S. Rossi, J.D. Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition |
| author_facet |
Martínez, S. Rossi, J.D. |
| author_sort |
Martínez, S. |
| title |
Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition |
| title_short |
Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition |
| title_full |
Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition |
| title_fullStr |
Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition |
| title_full_unstemmed |
Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition |
| title_sort |
isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition |
| publishDate |
2002 |
| url |
http://hdl.handle.net/20.500.12110/paper_10853375_v7_n5_p287_Martinez http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v7_n5_p287_Martinez_oai |
| work_keys_str_mv |
AT martinezs isolationandsimplicityforthefirsteigenvalueoftheplaplacianwithanonlinearboundarycondition AT rossijd isolationandsimplicityforthefirsteigenvalueoftheplaplacianwithanonlinearboundarycondition |
| _version_ |
1766026752848560128 |