Sign-changing bubble tower solutions for a supercritical elliptic problem with the Hénon term
Wenjing Chen, Shengbing Deng · Nonlinearity · 2017
Abstract In this paper, we deal with the following elliptic problem with the Hénon term where Ω is a bounded smooth domain in R N containing the origin, N ⩾ 3 , and ε > 0 small, p α = N + 2 + 2 α N − 2 , where α > 0 is not an even integer. As ε goes to zero, we construct a sign-changing solution with the shape of a tower of bubbles with alternate signs, centered at the origin.