Picone’s identity for the \(p\)-biharmonic operator with applications. (English) Zbl 1229.35024

Jaros, Jaroslav

Electron. J. Differ. Equ. 2011, Paper No. 122, 6 p. (2011).

Summary: A Picone-type identity for the weighted \(p\)-biharmonic operator is established, and comparison results for a class of half-linear partial differential equations of fourth order based on this identity are derived.

MSC:

35B51	Comparison principles in context of PDEs
35J70	Degenerate elliptic equations

Keywords:

\(p\)-biharmonic operator; Picone’s identity; half-linear partial differential equations; fourth order