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math.AP2018
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…
math.AP2018
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…
math.AP2018
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…