Title:	On a defocusing quasilinear Schrödinger equation with singular term
Authors:	Yang, Minbo Santos, Carlos Alberto Pereira dos Ubilla, Pedro Zhou, Jiazheng
metadata.dc.contributor.email:	mailto:mbyang@zjnu.edu.cn mailto:csantos@unb.br mailto:pedro.ubilla@usach.cl mailto:zhou@mat.unb.br
metadata.dc.identifier.orcid:	https://orcid.org/my-orcid?orcid=0000-0003-2182-7499
Assunto::	Schrödinger, Equação de Grupos críticos Teorias não-lineares
Issue Date:	Jan-2023
Publisher:	American Institute of Mathematical Sciences
Citation:	YANG, Minbo et. al. On a defocusing quasilinear Schrödinger equation with singular term. Discrete and continuous dynamical systems, v. 43, n. 1, p. 507-536, jan. 2023. DOI 10.3934/dcds.2022158. Disponível em: https://www.aimsciences.org/article/doi/10.3934/dcds.2022158. Acesso em: 29 ago. 2023.
Abstract:	We consider a class of modified quasilinear Schr¨odinger equations −∆u + k 2 u∆u 2 + V (x)u = λa(x)u −α + b(x)u β in R N , where N ≥ 3, V is a suitable non-negative continuous potential; a, b are bounded mensurable functions, 0 < α < 1 < β ≤ 2 ∗ − 1 and k, λ ≥ 0 are two parameters. We establish global existence and local multiplicity results of positive solutions in H1 (RN ) ∩ L∞(RN ) for the equation with appropriate classes of parameters α, β and coefficients a(x), b(x)
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	10.3934/dcds.2022158
metadata.dc.relation.publisherversion:	https://www.aimsciences.org/article/doi/10.3934/dcds.2022158
Agência financiadora:	UnB - Edital DPI/DPG n. 02/2022
Appears in Collections:	Artigos publicados em periódicos e afins

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