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

Elves A.B. Silva, Sérgio H. Monari Soares

• 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.