Caccioppoli estimates through an anisotropic Picone’s identity

Jaroš, Jaroslav

doi:10.1090/S0002-9939-2014-12294-5

Caccioppoli estimates through an anisotropic Picone’s identity
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Proc. Amer. Math. Soc. 143 (2015), 1137-1144 Request permission

Abstract:

Caccioppoli-type estimates for a class of nonlinear differential operators which include the $p$-Laplacian and the pseudo $p$-Laplacian as special cases are obtained by means of the differential identity involving an arbitrary norm in $\mathbb {R}^n$ which generalizes the well-known multidimensional Picone’s formula.

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