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How I met the normalized p-Laplacian $$\varDelta _p^N$$ and what we know now about mean values and concavity properties
In this article I describe how I discovered the normalized p-Laplacian $$\varDelta _p^Nu=\frac{1}{p}|\nabla u|^{2-p}\varDelta _p u$$ as an interesting mathematical object in the context of mathematical image processing. Then I provide a survey of results which this operator has in common with the linear Laplacian.