By means of a perturbation argument devised by P. Bolle, we prove the existence of infinitely many solutions for perturbed symmetric polyharmonic problems with nonhomogeneous 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.
Lancelotti, S., Musesti, A., Squassina, M., Infinitely many solutions for polyharmonic elliptic problems with broken symmetries, <<MATHEMATISCHE NACHRICHTEN>>, 2003; (253): 35-44. [doi:10.1002/mana.200310043] [http://hdl.handle.net/10807/86880]
Infinitely many solutions for polyharmonic elliptic problems with broken symmetries
Lancelotti, Sergio;Musesti, Alessandro;Squassina, Marco
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 nonhomogeneous 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.
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