Opuscula Mathematica
Opuscula Math. 33, no. 4 (2013), 701-711

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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Jaroslav Jaroš
Comenius University, Faculty of Mathematics, Physics and Informatics, Department of Mathematical Analysis and Numerical Mathematics, 842 48 Bratislava, Slovakia
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Received: 2013-03-31.
Revised: 2013-04-19.
Accepted: 2013-04-25.
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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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