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Título : Mini-max algorithm via Pohozaev manifold
Autor : 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
Fecha de publicación : 21-ene-2021
Editorial : IOP Publishing Ltd & London Mathematical Society
Citación : 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
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