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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…