Hamiltonian systems of Schrödinger equations with vanishing potentials-Reference-Cited by-同舟云学术

Hamiltonian systems of Schrödinger equations with vanishing potentials

Published:2020-10-20 Issue:01 Volume:24 Page:
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Toon E.¹,Ubilla P.²

Affiliation:

1. Departamento de Matemática, Universidade Federal de Juiz de Fora, Juiz de Fora, CEP 36036-330, Minas Gerais, Brazil

2. Departamento de Matematica y Ciencia de la Computacin, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile

Abstract

In this paper, by means of minimax techniques involving Cerami sequences, we prove the existence of at least one pair of positive solutions for a Hamiltonian system of Schrödinger equations in [Formula: see text] with potentials vanishing at infinity and subcritical nonlinearities which are superlinear at the origin and at infinity. We establish new estimates to prove the boundedness of a Cerami sequence.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199720500741

Reference23 articles.

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5. Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity

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