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

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
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