Quasilinear equations involving critical exponent and concave nonlinearity at the origin

Figueiredo, Giovany de Jesus Malcher; Ruviaro, Ricardo; Oliveira Júnior, José Carlos de

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dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.contributor.author	Ruviaro, Ricardo	-
dc.contributor.author	Oliveira Júnior, José Carlos de	-
dc.date.accessioned	2021-06-18T13:15:06Z	-
dc.date.available	2021-06-18T13:15:06Z	-
dc.date.issued	2020-07-15	-
dc.identifier.citation	FIGUEIREDO, Giovany M.; RUVIARO, R.; OLIVEIRA JUNIOR, J.C. Quasilinear equations involving critical exponent and concave nonlinearity at the origin. Milan Journal of Mathematics, v. 88, p. 295-314, 2020. DOI: https://doi.org/10.1007/s00032-020-00315-6.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/41197	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Quasilinear equations involving critical exponent and concave nonlinearity at the origin	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Equações quasilineares	pt_BR
dc.subject.keyword	Métodos variacionais	pt_BR
dc.subject.keyword	Expoentes críticos	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s00032-020-00315-6	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00032-020-00315-6	pt_BR
dc.description.abstract1	We are interested in quasilinear problems as follows: {−Δu−uΔ(u2)=−λ\|u\|q−2u+\|u\|22∗−2u+μg(x,u),in Ω,u=0,on ∂Ω, (p) where Ω⊂RNis a bounded domain with regular boundary ∂Ω,N≥3,λ,μ>0,1<q<4,22∗:=4N/(N−2) and g has a subcritical growth and possesses a condition of monotonicity. We prove a regularity result for all weak solutions for a modified problem associated to (p) and, introducing a new type of constraint, we demonstrate a multiplicity result for solutions, including a ground state.	pt_BR
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