Existence of solutions for elliptic systems with critical Sobolev exponent

We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth. © 2002 Southwest Texas State University.

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Detalles Bibliográficos
Autores principales: Amster, Pablo Gustavo, De Napoli, Pablo Luis, Mariani, María Cristina
Publicado: 2002
Materias:
Critical sobolev exponent
Elliptic systems
Variational methods
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2002_n_pXXCV_Amster
http://hdl.handle.net/20.500.12110/paper_10726691_v2002_n_pXXCV_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10726691_v2002_n_pXXCV_Amster
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spelling paper:paper_10726691_v2002_n_pXXCV_Amster2023-06-08T16:04:50Z Existence of solutions for elliptic systems with critical Sobolev exponent Amster, Pablo Gustavo De Napoli, Pablo Luis Mariani, María Cristina Critical sobolev exponent Elliptic systems Variational methods We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth. © 2002 Southwest Texas State University. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:De Nápoli, 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. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2002_n_pXXCV_Amster http://hdl.handle.net/20.500.12110/paper_10726691_v2002_n_pXXCV_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Critical sobolev exponent
Elliptic systems
Variational methods
spellingShingle Critical sobolev exponent
Elliptic systems
Variational methods
Amster, Pablo Gustavo
De Napoli, Pablo Luis
Mariani, María Cristina
Existence of solutions for elliptic systems with critical Sobolev exponent
topic_facet Critical sobolev exponent
Elliptic systems
Variational methods
description We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth. © 2002 Southwest Texas State University.
author Amster, Pablo Gustavo
De Napoli, Pablo Luis
Mariani, María Cristina
author_facet Amster, Pablo Gustavo
De Napoli, Pablo Luis
Mariani, María Cristina
author_sort Amster, Pablo Gustavo
title Existence of solutions for elliptic systems with critical Sobolev exponent
title_short Existence of solutions for elliptic systems with critical Sobolev exponent
title_full Existence of solutions for elliptic systems with critical Sobolev exponent
title_fullStr Existence of solutions for elliptic systems with critical Sobolev exponent
title_full_unstemmed Existence of solutions for elliptic systems with critical Sobolev exponent
title_sort existence of solutions for elliptic systems with critical sobolev exponent
publishDate 2002
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2002_n_pXXCV_Amster
http://hdl.handle.net/20.500.12110/paper_10726691_v2002_n_pXXCV_Amster
work_keys_str_mv AT amsterpablogustavo existenceofsolutionsforellipticsystemswithcriticalsobolevexponent
AT denapolipabloluis existenceofsolutionsforellipticsystemswithcriticalsobolevexponent
AT marianimariacristina existenceofsolutionsforellipticsystemswithcriticalsobolevexponent
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