Neumann $p$-Laplacian problems with a reaction term on metric spaces
Analysis of PDEs
2023-09-25 v1
Abstract
We use a variational approach to study existence and regularity of solutions for a Neumann -Laplacian problem with a reaction term on metric spaces equipped with a doubling measure and supporting a Poincar\'e 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
Cite
@article{arxiv.2309.12736,
title = {Neumann $p$-Laplacian problems with a reaction term on metric spaces},
author = {Antonella Nastasi},
journal= {arXiv preprint arXiv:2309.12736},
year = {2023}
}