3 papers
math.DS2020
On the Dimension of the Space of Harmonic Functions on Transitive Shift Spaces
L. Cioletti, L. Melo, R. Ruviaro +1
In this paper, we show a new relation between phase transition in one-dimensional Statistical Mechanics and the multiplicity of the dimension of the space of harmonic functions for…
math.AP2020
Pohozaev manifold constraint for solving nonlinear Schrödinger equations with potentials vanishing at infinity
Liliane A. Maia, Gilberto S. Pina, Ricardo Ruviaro
Existence of a positive solution for a class of nonlinear Schrödinger equations with potentials which decay to zero at infinity, with an appropriate rate, approaching zero mass typ…
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…