http://repositorio.unb.br/handle/10482/41189
Titre: | Mini-max algorithm via Pohozaev manifold |
Auteur(s): | Maia, Liliane de Almeida Raom, Daniel Ruviaro, Ricardo Sobral, Yuri Dumaresq |
metadata.dc.identifier.orcid: | https://orcid.org/0000-0002-6163-1899 https://orcid.org/0000-0001-9136-8115 https://orcid.org/0000-0002-3255-2446 https://orcid.org/0000-0001-5775-1292 |
Assunto:: | Algoritmo Análise numérica |
Date de publication: | 21-jan-2021 |
Editeur: | IOP Publishing Ltd & London Mathematical Society |
Référence bibliographique: | MAIA, L. A.; RAOM, D.; RUVIARO, R.; SOBRAL, Y. D. Mini-max algorithm via Pohozaev manifold. Nonlinearity, v. 34, n. 1, 2021. DOI: https://doi.org/10.1088/1361-6544/abcc4c. |
Abstract: | A new algorithm for solving nonhomogeneous asymptotically linear and superlinear problems is proposed. The ground state solution of the problem, which in general is obtained as a mini-max of the associated functional, is obtained as the minimum of the functional constrained to the Pohozaev manifold instead. Examples are given of the use of this method for finding numerical radially symmetric positive solutions depending on various parameters. |
DOI: | https://doi.org/10.1088/1361-6544/abcc4c |
metadata.dc.relation.publisherversion: | https://iopscience.iop.org/article/10.1088/1361-6544/abcc4c/meta |
Collection(s) : | Artigos publicados em periódicos e afins |
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