Concentration-compactness type principle for systems with critical terms in RN
| dc.contributor.author | Bonaldo, L. M.M. | |
| dc.contributor.author | Hurtado, E. J. [UNESP] | |
| dc.contributor.author | Neves, W. | |
| dc.contributor.institution | Universidade Federal do Rio de Janeiro (UFRJ) | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.date.accessioned | 2025-04-29T20:17:38Z | |
| dc.date.issued | 2024-03-15 | |
| dc.description.abstract | In this paper, we obtain some important variants of the Lions and Chabrowski Concentration-compactness principle, for nonlinear systems in the context of fractional Sobolev spaces with variable exponents. As an application of the results, we show the existence and asymptotic behaviour of nontrivial solutions for elliptic systems involving a new class of general nonlocal integrodifferential operators with variable exponents and critical growth conditions in RN. | en |
| dc.description.affiliation | Instituto de Matemática Universidade Federal do Rio de Janeiro, Cidade Universitária 2194–970 | |
| dc.description.affiliation | Departamento de Matemática Universidade Estadual Paulista, AV. Eng. Luiz Ed. Carrijo Coube, 14-01, Vargem Limpa, SP | |
| dc.description.affiliationUnesp | Departamento de Matemática Universidade Estadual Paulista, AV. Eng. Luiz Ed. Carrijo Coube, 14-01, Vargem Limpa, SP | |
| dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ) | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorshipId | CAPES: 001 | |
| dc.description.sponsorshipId | FAPERJ: 260003/014956/2021 | |
| dc.description.sponsorshipId | CNPq: 308064/2019-4 | |
| dc.description.sponsorshipId | FAPERJ: E-26/201.139/2021 | |
| dc.identifier | http://dx.doi.org/10.1016/j.jmaa.2023.127849 | |
| dc.identifier.citation | Journal of Mathematical Analysis and Applications, v. 531, n. 2, 2024. | |
| dc.identifier.doi | 10.1016/j.jmaa.2023.127849 | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.scopus | 2-s2.0-85174464509 | |
| dc.identifier.uri | https://hdl.handle.net/11449/310011 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | |
| dc.source | Scopus | |
| dc.subject | Critical nonlinearities | |
| dc.subject | Fractional Sobolev space with variable exponents | |
| dc.subject | Fractional systems | |
| dc.subject | Nonlocal integrodifferential operator | |
| dc.subject | Variational methods | |
| dc.title | Concentration-compactness type principle for systems with critical terms in RN | en |
| dc.type | Artigo | pt |
| dspace.entity.type | Publication |