In this paper, we consider the following Yamabe type problem of polyharmonic operator:, where, is the unit sphere with the induced Riemannian metric g=gS N, and D m is the elliptic differential operator of 2m order given by, where δ g is the Laplace-Beltrami operator on SN. We will show that the problem (P) has infinitely many non-radial sign-changing solutions. © 2012 Elsevier Inc.
Guo, Y., Li, B., & Wei, J. (2013). Large energy entire solutions for the Yamabe type problem of polyharmonic operator. Journal of Differential Equations, 254(1), 199–228. https://doi.org/10.1016/j.jde.2012.08.038