CHAGAS, J. G.; http://lattes.cnpq.br/6601134725799095; CHAGAS, Jesualdo Gomes das.
Résumé:
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.