Opuscula Math. 33, no. 4 (2013), 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

Jaroslav Jaroš

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.

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Cite this article as:
Jaroslav Jaroš, Picone-type identity and comparison results for a class of partial differential equations of order 4m, Opuscula Math. 33, no. 4 (2013), 701-711, http://dx.doi.org/10.7494/OpMath.2013.33.4.701

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