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.

Detalles Bibliográficos
Autores principales: Amster, P., Mariani, M.-C., Méndez, O.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09337741_v19_n1_p115_Amster
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spelling todo:paper_09337741_v19_n1_p115_Amster2023-10-03T15:48:33Z Solutions of nonlinear elliptic equations in unbounded Lipschitz domains Amster, P. Mariani, M.-C. Méndez, O. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Amster, P.
Mariani, M.-C.
Méndez, O.
spellingShingle Amster, P.
Mariani, M.-C.
Méndez, O.
Solutions of nonlinear elliptic equations in unbounded Lipschitz domains
author_facet Amster, P.
Mariani, M.-C.
Méndez, O.
author_sort Amster, P.
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
url http://hdl.handle.net/20.500.12110/paper_09337741_v19_n1_p115_Amster
work_keys_str_mv AT amsterp solutionsofnonlinearellipticequationsinunboundedlipschitzdomains
AT marianimc solutionsofnonlinearellipticequationsinunboundedlipschitzdomains
AT mendezo solutionsofnonlinearellipticequationsinunboundedlipschitzdomains
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