Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-06T13:13:20Z No. of bitstreams: 1 JESUALDO GOMES DAS CHAGAS - DISSERTAÇÃO PPGMAT 2005..pdf: 575823 bytes, checksum: 521b6019d4248d58632cebebfe23bec8 (MD5) / Made available in DSpace on 2018-07-06T13:13:20Z (GMT). No. of bitstreams: 1 JESUALDO GOMES DAS CHAGAS - DISSERTAÇÃO PPGMAT 2005..pdf: 575823 bytes, checksum: 521b6019d4248d58632cebebfe23bec8 (MD5) Previous issue date: 2005-09 / Neste trabalho, estudamos a existência de infinitas soluções para o problema ∆u + |u| 4n−2 u = 0, u ∈ C 2(Rn), n ≥ 3, as quais possuem energia finita e que mudam de sinal. Para tanto, usaremos argumentos desenvolvidos por Ding [9]. Neste caso, resolveremos um problema, na esfera Sn, que é equivalente ao problema em questão. / In this work, we study the existence of infinite solutions to the problem ∆u + |u| 4n−2 u = 0, u ∈ C 2(Rn), n ≥ 3, which has finite energy and change sign. To do this, we use arguments developed by Ding [9]. In this case, we solve a problem, on sphere Sn, that is equivalent to theproblem in question.