Neumann p-Laplacian problems with a reaction term on metric spaces |
| |
Authors: | Nastasi Antonella |
| |
Institution: | 1.Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy ; |
| |
Abstract: | We use a variational approach to study existence and regularity of solutions for a Neumann p-Laplacian problem with a reaction term on metric spaces equipped with a doubling measure and supporting a Poincaré inequality. Trace theorems for functions with bounded variation are applied in the definition of the variational functional and minimizers are shown to satisfy De Giorgi type conditions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|