About this Mathematics article
On viscosity and weak solutions for non-homogeneous p-Laplace equations by Maria Medina; Pablo Ochoa is a Mathematics article available to read on EtoBox.
## Abstract In this manuscript, we study the relation between viscosity and weak solutions for non-homogeneous __p__-Laplace equations with lower-order term depending on __x__, __u__ and {\nabla u} . More precisely, we prove that any locally bounded viscosity solution constitutes a weak solution, extending results presented in Juutinen, Lindqvist and Manfredi [9], and Julin and Juutinen [6]. Moreover, we provide a converse statement in the full case under extra assumptions on the data.
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- Author
- Maria Medina; Pablo Ochoa
- Publisher
- Walter de Gruyter GmbH
- Published
- 2017
- Language
- EN
- Field
- Mathematics (Physical Sciences)