Figueiredo, Giovany MPimenta, Marcos T. O. [UNESP]2018-12-112018-12-112015-12-26Boundary Value Problems, v. 2015, n. 1, 2015.1687-27701687-2762http://hdl.handle.net/11449/168040In this work we deal with the following nonlinear Schrödinger equation: {−^ϵ2Δu+V(x)u=f(u)in ^RNu∈^H1(^RN),(Formula presented.) where N≥3, f is a subcritical power-type nonlinearity and V is a positive potential satisfying a local condition. We prove the existence and concentration of nodal solutions which concentrate around a k-dimensional sphere of R^N, where (Formula presented.). The radius of such a sphere is related with the local minimum of a function which takes into account the potential V. Variational methods are used together with the penalization technique in order to overcome the lack of compactness.engconcentration on manifoldsnodal solutionsvariational methodsArtigo10.1186/s13661-015-0411-8Acesso aberto2-s2.0-849422347332-s2.0-84942234733.pdf