Opuscula Math. 33, no. 4 (2013), 701-711
Picone-type identity and comparison results for a class of partial differential equations of order 4m
Abstract. In the paper, a Picone-type identity for the weighted \(p\)-polyharmonic operator is established and comparison theorems and other qualitative results for a class of half-linear partial differential equations of the \(4m\)th order based on this identity are derived.
Keywords: \(p\)-polyharmonic operator, Picone's identity.
Mathematics Subject Classification: 35B05, 35J70.
- Received: 2013-03-31.
- Revised: 2013-04-19.
- Accepted: 2013-04-25.