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Title: Symmetric positive solutions to nonlinear Choquard equations with potentials
Authors: Maia, Liliane de Almeida
Pellacci, Benedetta
Schiera, Delia
metadata.dc.contributor.email: mailto:lilimaia@unb.br
metadata.dc.identifier.orcid: https://orcid.org/0000-0002-6163-1899
metadata.dc.contributor.affiliation: Departamento de Matemática, Universidade de Brasília
Dipartimento di Matematica e Fisica, Università della Campania “Luigi Vanvitelli”
Dipartimento di Matematica e Fisica, Università della Campania “Luigi Vanvitelli”
Assunto:: Soluções positivas
Equações diferenciais não-lineares
Equação de Choquard
Issue Date: 7-Feb-2022
Publisher: Springer
Citation: MAIA, Liliane; PELLACCI, Benedetta; SCHIERA, Delia. Symmetric positive solutions to nonlinear Choquard equations with potentials. Calculus of Variations and Partial Differential Equations, art. 61, 2022. DOI https://doi.org/10.1007/s00526-021-02169-1. Disponível em: https://link.springer.com/article/10.1007/s00526-021-02169-1. Acesso em: 03 out. 2023.
Abstract: Existence results for a class of Choquard equations with potentials are established. The potential has a limit at infinity and it is taken invariant under the action of a closed subgroup of linear isometries of RN . As a consequence, the positive solution found will be invariant under the same action. Power nonlinearities with exponent greater or equal than two or less than two will be handled. Our results include the physical case.
metadata.dc.description.unidade: Instituto de Ciências Exatas (IE)
Departamento de Matemática (IE MAT)
DOI: https://doi.org/10.1007/s00526-021-02169-1
metadata.dc.relation.publisherversion: https://link.springer.com/article/10.1007/s00526-021-02169-1
Agência financiadora: UnB - Edital DPI/DPG n. 02/2022
Appears in Collections:Artigos publicados em periódicos e afins

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