On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2020 |
| Outros Autores: | , |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UNESP |
| Texto Completo: | http://dx.doi.org/10.1051/cocv/2020011 http://hdl.handle.net/11449/206850 |
Resumo: | In this paper we prove the compactness of the embeddings of the space of radially symmetric functions of BL(R N) into some Lebesgue spaces. In order to do so we prove a regularity result for solutions of the Poisson equation with measure data in R N, as well as a version of the Radial Lemma of Strauss to the space BL(R N). An application is presented involving a quasilinear elliptic problem of higher-order, where variational methods are used to find the solutions. |
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On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result1-biharmonic operatorBounded variation functionsCompactness with symmetryIn this paper we prove the compactness of the embeddings of the space of radially symmetric functions of BL(R N) into some Lebesgue spaces. In order to do so we prove a regularity result for solutions of the Poisson equation with measure data in R N, as well as a version of the Radial Lemma of Strauss to the space BL(R N). An application is presented involving a quasilinear elliptic problem of higher-order, where variational methods are used to find the solutions.Departamento de Matemática e Computação Fac. de Ciências e Tecnologia Universidade Estadual Paulista-UNESPDepartamento de Matemática Universidade Federal de São CarlosDepartamento de Matemática e Computação Fac. de Ciências e Tecnologia Universidade Estadual Paulista-UNESPUniversidade Estadual Paulista (Unesp)Universidade Federal de São Carlos (UFSCar)Hurtado, Elard J. [UNESP]Pimenta, Marcos T.O. [UNESP]Miyagaki, Olimpio H.2021-06-25T10:44:53Z2021-06-25T10:44:53Z2020-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1051/cocv/2020011ESAIM - Control, Optimisation and Calculus of Variations, v. 26.1262-33771292-8119http://hdl.handle.net/11449/20685010.1051/cocv/20200112-s2.0-85096300158Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengESAIM - Control, Optimisation and Calculus of Variationsinfo:eu-repo/semantics/openAccess2021-10-23T15:25:39Zoai:repositorio.unesp.br:11449/206850Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T15:25:39Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result |
| title |
On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result |
| spellingShingle |
On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result Hurtado, Elard J. [UNESP] 1-biharmonic operator Bounded variation functions Compactness with symmetry |
| title_short |
On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result |
| title_full |
On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result |
| title_fullStr |
On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result |
| title_full_unstemmed |
On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result |
| title_sort |
On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result |
| author |
Hurtado, Elard J. [UNESP] |
| author_facet |
Hurtado, Elard J. [UNESP] Pimenta, Marcos T.O. [UNESP] Miyagaki, Olimpio H. |
| author_role |
author |
| author2 |
Pimenta, Marcos T.O. [UNESP] Miyagaki, Olimpio H. |
| author2_role |
author author |
| dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Universidade Federal de São Carlos (UFSCar) |
| dc.contributor.author.fl_str_mv |
Hurtado, Elard J. [UNESP] Pimenta, Marcos T.O. [UNESP] Miyagaki, Olimpio H. |
| dc.subject.por.fl_str_mv |
1-biharmonic operator Bounded variation functions Compactness with symmetry |
| topic |
1-biharmonic operator Bounded variation functions Compactness with symmetry |
| description |
In this paper we prove the compactness of the embeddings of the space of radially symmetric functions of BL(R N) into some Lebesgue spaces. In order to do so we prove a regularity result for solutions of the Poisson equation with measure data in R N, as well as a version of the Radial Lemma of Strauss to the space BL(R N). An application is presented involving a quasilinear elliptic problem of higher-order, where variational methods are used to find the solutions. |
| publishDate |
2020 |
| dc.date.none.fl_str_mv |
2020-01-01 2021-06-25T10:44:53Z 2021-06-25T10:44:53Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1051/cocv/2020011 ESAIM - Control, Optimisation and Calculus of Variations, v. 26. 1262-3377 1292-8119 http://hdl.handle.net/11449/206850 10.1051/cocv/2020011 2-s2.0-85096300158 |
| url |
http://dx.doi.org/10.1051/cocv/2020011 http://hdl.handle.net/11449/206850 |
| identifier_str_mv |
ESAIM - Control, Optimisation and Calculus of Variations, v. 26. 1262-3377 1292-8119 10.1051/cocv/2020011 2-s2.0-85096300158 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
ESAIM - Control, Optimisation and Calculus of Variations |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
| instname_str |
Universidade Estadual Paulista (UNESP) |
| instacron_str |
UNESP |
| institution |
UNESP |
| reponame_str |
Repositório Institucional da UNESP |
| collection |
Repositório Institucional da UNESP |
| repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
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|
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1797790377088909312 |