6 papers
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…
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…
Mini-Max Algorithm via Pohozaev Manifold
L. A. Maia, D. Raom, R. Ruviaro +1
A new algorithm for solving non-homogeneous asymptotically linear and superlinear problems is proposed. The ground state solution of the problem, which in general is obtained as a…
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…
The Double Transpose of the Ruelle Operator
L. Cioletti, A. C. D. van Enter, R. Ruviaro
In this paper we study the double transpose of the -extensions of the Ruelle transfer operator associated to a general real continuous po…
A Variational Principle for the Specific Entropy for Symbolic Systems with Uncountable Alphabets
D. Aguiar, L. Cioletti, R. Ruviaro
In this paper we derived a variational principle for the specific entropy on the context of symbolic dynamics of compact metric space alphabets and use this result to obtain the un…