On a class of Hamiltonian elliptic systems involving unbounded or decaying potentials in dimension two | Zendy

Albuquerque Francisco S. B. | Zendy; do Ó João Marcos | Zendy; Medeiros Everaldo S. | Zendy

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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.

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