We consider the following Hénon equation with critical growth:
where is a positive constant, is the unit ball in , and . Ni  proved the existence of a radial solution and Serra  proved the existence of a nonradial solution for large and . In this paper, we show the existence of a nonradial solution for any and . Furthermore, we prove that equation (*) has infinitely many nonradial solutions, whose energy can be made arbitrarily large.
Cite this article
Juncheng Wei, Shusen Yan, Infinitely many nonradial solutions for the Hénon equation with critical growth. Rev. Mat. Iberoam. 29 (2013), no. 3, pp. 997–1020DOI 10.4171/RMI/747