Title:	Positive multipeak solutions to a zero mass problem in exterior domains
Authors:	Clapp, Mónica Maia, Liliane de Almeida Pellacci, Benedetta
metadata.dc.contributor.affiliation:	Universidad Nacional Autónoma de México, Instituto de Matemáticas Universidade de Brasília, Departamento de Matemática Università della Campania “Luigi Vanvitelli”, Dipartimento di Matematica e Fisica
Assunto::	Equação de campo escalar Massa zero
Issue Date:	2021
Publisher:	World Scientific
Citation:	CLAPP, Mónica; MAIA, Liliane A.; PELLACCI, Benedetta. Positive multipeak solutions to a zero mass problem in exterior domains. Communications in Contemporary Mathematics, [S. l.], v. 23, n. 2, 1950062, 2021. DOI: https://doi.org/10.1142/S0219199719500627.
Abstract:	We establish the existence of positive multipeak solutions to the nonlinear scalar field equation with zero mass −Δu = f(u), u ∈ D1,2 0 (ΩR), where ΩR := {x ∈ RN : |u| > R} with R > 0, N ≥ 4, and the nonlinearity f is subcritical at infinity and supercritical near the origin. We show that the number of positive multipeak solutions becomes arbitrarily large as R → ∞.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	https://doi.org/10.1142/S0219199719500627
metadata.dc.relation.publisherversion:	https://www.worldscientific.com/doi/abs/10.1142/S0219199719500627
Appears in Collections:	Artigos publicados em periódicos e afins

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