Caccioppoli estimates through an anisotropic Picone’s identity

Jaroslav Jaroš · Proceedings of the American Mathematical Society · 2014

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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