Sign-changing bubble tower solutions for a Paneitz-type problem

Abstract

This paper is concerned with the following biharmonic problemwhere Ω is an open bounded domain in R N , N ≥ 5, and B(ξ 0 , ε) is a ball centered at ξ 0 with radius ε, ε is a small positive parameter. We obtain the existence of solutions for problem (0.1), which is an arbitrary large number of sign-changing solutions whose profile is a superposition of bubbles with alternate sign which concentrate at the center of the hole.