Liouville-type theorems and existence results for stable-at-infinity solutions of higher-order \(m\)-polyharmonic problems
In this paper, the authors study a \(m\)-polyharmonic equation. Under some conditions, the non-existence of nontrivial stable-at-infinity (resp. stable) solutions is proved. Furthermore, under some other conditions, infinitely many finite Morse index solutions are obtained.
infinitely many finite Morse index solutions
scientific article; zbMATH DE number 7358701
scientific article