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

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• 作者：Francisco S. B. Albuquerque ; Joã ; o Marcos do Ó ; and Everaldo S. Medeiros
• 刊名：Mathematische Nachrichten
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：289
• 期：13
• 页码：1568-1584
• 全文大小：238K
• ISSN：1522-2616

文摘

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.