Infinitely many solutions for polyharmonic elliptic problems with broken symmetries
Sergio Lancelotti, Alessandro Musesti, Marco Squassina · Mathematische Nachrichten · 2003
Abstract By means of a perturbation argument devised by P. Bolle, we prove the existence of infinitely many solutions for perturbed symmetric polyharmonic problems with non–homogeneous Dirichlet boundary conditions. An extension to the higher order case of the estimate from below for the critical values due to K. Tanaka is obtained.