Multiplicity of solutions for a class of quasilinear equations with exponential critical growth

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• 作者：Luciana R. de Freitas
• 关键词：Quasilinear elliptic problems ; NN-Laplacian ; Exponential critical growth ; Ekeland Variational Principle ; Mountain Pass Theorem ; Trudinger&ndash ; Moser inequality
• 刊名：Nonlinear Analysis
• 出版年：January, 2014
• 年：2014
• 卷：95
• 期：Complete
• 页码：607-624
• 全文大小：464 K

文摘

This paper deals with some results of existence and multiplicity of solutions for quasilinear problems involving the -Laplacian operator, when the nonlinearity has exponential critical growth. To obtain our results we utilize Ekeland Variational Principle, Mountain Pass Theorem and inequalities of the type Trudinger-Moser. Bounded and unbounded domains are considered.