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arXiv · 2309.12736

Neumann $p$-Laplacian problems with a reaction term on metric spaces

Antonella Nastasi
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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 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.

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Antonella Nastasi. 2023-09-22. Neumann $p$-Laplacian problems with a reaction term on metric spaces. https://doi.org/10.1007/s11587-020-00532-6

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