Solutions of nonlinear elliptic equations in unbounded Lipschitz domains

This work is devoted to the study of the elliptic equation u = f(x, u) in an exterior non-smooth domain. Applying the method of upper and lower solutions and a diagonal argument, we prove the existence of solutions under various boundary conditions. © Walter de Gruyter 2007.

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Detalles Bibliográficos
Autores principales: Amster, Pablo Gustavo, Mariani, María Cristina
Publicado: 2007
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09337741_v19_n1_p115_Amster
http://hdl.handle.net/20.500.12110/paper_09337741_v19_n1_p115_Amster
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_09337741_v19_n1_p115_Amster
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spelling paper:paper_09337741_v19_n1_p115_Amster2025-07-30T18:29:22Z Solutions of nonlinear elliptic equations in unbounded Lipschitz domains Amster, Pablo Gustavo Mariani, María Cristina This work is devoted to the study of the elliptic equation u = f(x, u) in an exterior non-smooth domain. Applying the method of upper and lower solutions and a diagonal argument, we prove the existence of solutions under various boundary conditions. © Walter de Gruyter 2007. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mariani, M.-C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09337741_v19_n1_p115_Amster http://hdl.handle.net/20.500.12110/paper_09337741_v19_n1_p115_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description This work is devoted to the study of the elliptic equation u = f(x, u) in an exterior non-smooth domain. Applying the method of upper and lower solutions and a diagonal argument, we prove the existence of solutions under various boundary conditions. © Walter de Gruyter 2007.
author Amster, Pablo Gustavo
Mariani, María Cristina
spellingShingle Amster, Pablo Gustavo
Mariani, María Cristina
Solutions of nonlinear elliptic equations in unbounded Lipschitz domains
author_facet Amster, Pablo Gustavo
Mariani, María Cristina
author_sort Amster, Pablo Gustavo
title Solutions of nonlinear elliptic equations in unbounded Lipschitz domains
title_short Solutions of nonlinear elliptic equations in unbounded Lipschitz domains
title_full Solutions of nonlinear elliptic equations in unbounded Lipschitz domains
title_fullStr Solutions of nonlinear elliptic equations in unbounded Lipschitz domains
title_full_unstemmed Solutions of nonlinear elliptic equations in unbounded Lipschitz domains
title_sort solutions of nonlinear elliptic equations in unbounded lipschitz domains
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09337741_v19_n1_p115_Amster
http://hdl.handle.net/20.500.12110/paper_09337741_v19_n1_p115_Amster
work_keys_str_mv AT amsterpablogustavo solutionsofnonlinearellipticequationsinunboundedlipschitzdomains
AT marianimariacristina solutionsofnonlinearellipticequationsinunboundedlipschitzdomains
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