The Gelfand problem for the 1-homogeneous p-Laplacian

Abstract

In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homogeneous p-Laplacian in a bounded domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}}, that is, we deal with

Keywords

• gelfand problem
• elliptic equations
• viscosity solutions
• 35j15
• 35j60
• 35j70