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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.AP2019
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…
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…