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On a class of Hamiltonian elliptic systems involving unbounded or decaying potentials in dimension two
Author(s) -
Albuquerque Francisco S. B.,
do Ó João Marcos,
Medeiros Everaldo S.
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400203
Subject(s) - mathematics , hamiltonian system , hamiltonian (control theory) , class (philosophy) , mathematical analysis , exponential function , dimension (graph theory) , pure mathematics , exponential growth , mathematical optimization , artificial intelligence , computer science
This paper is concerned with the existence of solutions for a class of Hamiltonian elliptic systems with unbounded, singular or decaying radial potentials and nonlinearities having exponential critical growth. The approach relies on an approximation procedure and a version of the Trudinger–Moser inequality.