Sign-changing tower of bubbles for the Brezis–Nirenberg problem
Alessandro Iacopetti, Giusi Vaira · Communications in Contemporary Mathematics · 2015
In this paper, we prove that the Brezis–Nirenberg problem: [Formula: see text] where [Formula: see text] is a symmetric bounded smooth domain in [Formula: see text], [Formula: see text] and [Formula: see text], has a solution with the shape of a tower of two bubbles with alternate signs, centered at the center of symmetry of the domain, for all [Formula: see text] sufficiently small.