Opuscula Math. 33, no. 4 (), 701-711
http://dx.doi.org/10.7494/OpMath.2013.33.4.701
Opuscula Mathematica

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.