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Nodal solutions of an NLS equation concentrating on lower dimensional spheres
(2015-12-26)
In this work we deal with the following nonlinear Schrödinger equation: {−<sup>ϵ2</sup>Δu+V(x)u=f(u)in <sup>RN</sup>u∈<sup>H1</sup>(<sup>RN</sup>),(Formula presented.) where N≥3, f is a subcritical power-type nonlinearity ...
Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems
(Gauthier-Villars/ElsevierParis, 2015-12)
In this paper we prove existence of least energy nodal solutions for the Hamiltonian elliptic system with Hénon-type weights −Δu = '|X| POT. β' '|V| POT. Q-1' v, −Δv = '|X|POT. α' '|U| POT. P−1' u in Ω, u= v = 0 on ∂Ω, ...
Nodal Solutions to Quasilinear Elliptic Problems Involving the 1-Laplacian Operator via Variational and Approximation Methods
(Indiana Univ Math Journal, 2022-01-01)
In this work we use two different methods to get nodal solutions to quasilinear elliptic problems involving the 1-Laplacian operator. In the first one, we develop an approach based on a minimization of the energy functional ...
A note on the number of nodal solutions of an elliptic equation with symmetry
(Pergamon-elsevier Science LtdOxfordInglaterra, 2006)
Resolution of nodal analysis with support of Numerical MethodsResolução de análise nodal com auxílio de métodos numéricos
(Universidade Federal de Santa Maria, 2019)
The Equivariant Second Yamabe Constant
(Springer, 2019-01)
For a closed Riemannian manifold of dimension n≥ 3 and a subgroup G of the isometry group, we define and study the G-equivariant second Yamabe constant and obtain some results on the existence of G-invariant nodal solutions ...
Soluções para equações quasilineares de Schrödinger através do método Nehari
(Universidade Estadual Paulista (Unesp), 2019-07-24)
Para uma classe de equações quasilineares de Schrödinger, estabelecemos a existência de soluções positivas e nodais pelo método de Nehari.
Radial sign-changing solutions to biharmonic nonlinear Schrodinger equations
(Springer, 2015-01-31)
In this work we obtain three radial solutions of a biharmonic stationary Schrodinger equation, one being positive, one negative, and one sign changing. The dual decomposition method is used to split the natural second-order ...