Title:	Mini-max algorithm via Pohozaev manifold
Authors:	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
Issue Date:	21-Jan-2021
Publisher:	IOP Publishing Ltd & London Mathematical Society
Citation:	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
Appears in Collections:	Artigos publicados em periódicos e afins

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