Multiplicity theorems for the Dirichlet problem involving the p-Laplacian
- Autori: Bonanno, G.; Livrea, R.
- Anno di pubblicazione: 2003
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Critical points; Dirichlet problem; Multiple solutions; p-Laplacian; Mathematics (all); Analysis; Applied Mathematics
- OA Link: http://hdl.handle.net/10447/258457
Abstract
Multiplicity theorems for the Dirichlet problem involving the p-Laplacian were proved using variational approach. It was shown that there existed an open interval and a positive real number, and each problem admits at least three weak solutions. Results on the existence of at least three weak solutions for the Dirichlet problems were established.