Título :	Multiplicity and regularity results for a class of quasilinear Schrodinger equations involving a nonlinearity concave at the origin
Autor :	Figueiredo, Giovany de Jesus Malcher Ruviaro, Ricardo Moura, E. L. de Oliveira Júnior, José Carlos de
Assunto::	Schrödinger, Equação de Equações quasilineares Métodos variacionais
Fecha de publicación :	29-may-2021
Editorial :	Springer
Citación :	FIGUEIREDO, G. M. et al. Multiplicity and regularity results for a class of quasilinear Schrodinger equations involving a nonlinearity concave at the origin. Mediterranean Journal of Mathematics, v. 18, 139, 2021. DOI: https://doi.org/10.1007/s00009-021-01782-w.
Abstract:	We are concerned on the quasilinear problems ????? where Ω⊂RN is a bounded domain with regular boundary ∂Ω, N≥1, λ,μ>0, 1<q<2 and 4<p<2⋅2∗=4N/(N−2) if N≥3 or 4<p<∞ if N=1 or N=2. We prove the existence of two nontrivial solutions for the problem (P) for each λ>0 and μ large enough. Furthermore, we prove a regularity result for all weak solutions for a modified problem associated to (P).
DOI:	https://doi.org/10.1007/s00009-021-01782-w
metadata.dc.relation.publisherversion:	https://link.springer.com/article/10.1007/s00009-021-01782-w
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