caa a22 4500 606166572 CHVBK 20210128100658.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10440-014-9942-8 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9942-8 Multiple Solutions for a Quasilinear Schrödinger Equation on $\mathbb{R}^{N}$ [Elektronische Daten] [Claudianor Alves, Giovany Figueiredo] The multiplicity of positive weak solutions is established for quasilinear Schrödinger equations −L p u+(λA(x)+1)|u| p−2 u=h(u) in $\mathbb{R}^{N}$ , where L p u=ϵ p Δ p u+ϵ p Δ p (u 2)u, A is a nonnegative continuous function and nonlinear term h has a subcritical growth. We achieved our results by using minimax methods and Lusternik-Schnirelman theory of critical points. Springer Science+Business Media Dordrecht, 2014 Quasilinear Schrödinger equation nationallicence Solitary waves, p -Laplacian nationallicence Variational method nationallicence Lusternik-Schnirelman theory nationallicence Alves Claudianor Unidade Acadêmica de Matemática e Estatística, Universidade Federal de Campina Grande, 58429-900, Campina Grande, PB, Brazil aut Figueiredo Giovany Faculdade de Matemática, Universidade Federal do Pará, 66075-110, Belém, PA, Brazil aut Acta Applicandae Mathematicae Springer Netherlands 136/1(2015-04-01), 91-117 0167-8019 136:1<91 2015 136 10440 https://doi.org/10.1007/s10440-014-9942-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9942-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alves Claudianor Unidade Acadêmica de Matemática e Estatística, Universidade Federal de Campina Grande, 58429-900, Campina Grande, PB, Brazil aut NATIONALLICENCE 700 1- Figueiredo Giovany Faculdade de Matemática, Universidade Federal do Pará, 66075-110, Belém, PA, Brazil aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 136/1(2015-04-01), 91-117 0167-8019 136:1<91 2015 136 10440