Liouville-Gelfand Type Problems for the N-Laplacian on Bounded Domains of RN

• Elves A. de B. Silva ^[1] ; Sérgio H. M. Soares ^[2]
  1. [1] Universidade de Brasília

     Universidade de Brasília

     Brasil

     
  2. [2] Universidade Estadual Paulista, Brazil
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 28, Nº 1, 1999, págs. 1-30
• Idioma: inglés
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• Resumen

  • In this article it is used minimax methods to establish some results of existence and multiplicity of solutions for the N-Laplacian equation on bounded domains Rn with Dirichlet boundary conditions, when the nonlinearity has exponential growth. The subcritical and critical cases are considered.