4 papers
An Indefinite Elliptic Problem on RN Autonomous at Infinity: The Crossing Effect of the Spectrum and the Nonlinearity
Mayra Soares, Liliane A. Maia
We present a new approach to solve a Schrödinger Equation autonomous at infinity, by identifying the relation between the arrangement of the spectrum of the concerned operator and…
Non-Cooperative Systems Modeling Repulsive Interaction of Bose-Einstein Condesates in RN
Liliane A. Maia, Mayra Soares, Ricardo Ruviaro
Inspired by so many possible applications of this class of problems, we seek solution for non-cooperative elliptic systems of two Schrodinger equations. General conditions are ass…
Spectral Theory Approach for a Class of Radial Indefinite Variational Problems
Mayra Soares, Liliane Maia
Considering the radial nonlinear Schrodinger equation - Δu + V(x)u = g(x,u) in R^N, N \geq 3 we aim to find a radial nontrivial solution for it, where V changes sign ensuring this…
An abstract linking theorem applied to indefinite problems via spectral properties
Liliane A. Maia, Mayra Soares
An abstract linking result for Cerami sequences is proved without the Cerami condition. It is applied directly in order to prove the existence of critical points for a class of ind…