Title:	Quasilinear equations involving critical exponent and concave nonlinearity at the origin
Authors:	Figueiredo, Giovany de Jesus Malcher Ruviaro, Ricardo Oliveira Júnior, José Carlos de
Assunto::	Equações quasilineares Métodos variacionais Expoentes críticos
Issue Date:	15-Jul-2020
Publisher:	Springer
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.
Abstract:	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.
DOI:	https://doi.org/10.1007/s00032-020-00315-6
metadata.dc.relation.publisherversion:	https://link.springer.com/article/10.1007/s00032-020-00315-6
Appears in Collections:	Artigos publicados em periódicos e afins

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