LIMA, R. N.; http://lattes.cnpq.br/4685786671603339; LIMA, Romildo Nascimento de.
Resumo:
In this work we are interested in studying the results of existence and nonexistence
of solution, behavior of the energy functional and Palais-Smale condition
for systems of equations of the type Schrödinger-Poisson; by using variational approach.
In fact the solutions are critical points of the energy functional associated with
the problem. To achieve our goals, it is essential to study the Manifolds of Ruiz
and Nehari, the Ekeland Variational Principle, the Mountain Pass theorem, and the
Concentration-Compactness argument.