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1	Sobre uma classe de equações elípticas envolvendo crescimento exponencial em ℝ2 Guimarães, Wanderson Rodrigo 16 May 2013 (has links) Made available in DSpace on 2015-05-15T11:46:22Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1317724 bytes, checksum: 6a915301a18806d377bf5c949922b304 (MD5) Previous issue date: 2013-05-16 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / In this work, we will study the existence and multiplicity of weak solutions for a class of nonhomogeneous elliptic problems involving exponential growth Trudinger-Moser type in R2. For this, we will use the Ekeland s Variational Principle and the Mountain Pass Theorem without the Palais-Smale condition in combination with a version of the Trudinger-Moser inequality. / Teorema do Passo da Montanha, Principio variacional de Ekeland, equação de Schrodinger, Desigualdade de Trudinger-Moser, Crescimento Exponencial. Teorema do Passo da Montanha Princípio Variacional de Ekeland Equação de Schrodinger Desigualdade de Trudinger-Moser Crescimento Exponencial Mountain Pass Theorem Ekeland Variational Principle Schr¨odinger s Equation Trudinger-Moser inequality Exponential Growth