Hamiltonian elliptic systems in dimension two with potentials which can vanish at infinity-Reference-Cited by-同舟云学术

Hamiltonian elliptic systems in dimension two with potentials which can vanish at infinity

Published:2018-12 Issue:08 Volume:20 Page:1750053
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Soares Sérgio H. Monari¹,Leuyacc Yony R. Santaria¹

Affiliation:

1. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, 13560-970 São Carlos, SP, Brazil

Abstract

We will focus on the existence of nontrivial solutions to the following Hamiltonian elliptic system [Formula: see text] where [Formula: see text] is a positive function which can vanish at infinity and be unbounded from above and [Formula: see text] and [Formula: see text] have exponential growth range. The proof involves a truncation argument combined with the linking theorem and a finite-dimensional approximation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199717500535

Reference29 articles.

1. Nonlinear Schrödinger equation with unbounded or decaying radial potentials involving exponential critical growth inR2

2. On a class of Hamiltonian elliptic systems involving unbounded or decaying potentials in dimension two

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