Caccioppoli-type estimates for a class of nonlinear differential operators

• Date: 2018
• Main Authors: Tiryaki, A., Тирякі, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1646
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish Caccioppoli-type estimates for a class of nonlinear differential equations with the aid of a differential identity that generalizes the well-known multidimensional Picone’s formula. In special cases, these estimates give the Finsler $p$-Laplacian, the $p$-Laplacian and the pseudo-$p$-La...