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arXiv · 1105.1241

On the problem of unique continuation for the p-Laplace equation

Seppo Granlund·Niko Marola
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Abstract

We study if two different solutions of the $p$-Laplace equation $$\nabla\cdot(|\nabla u|^{p-2}\nabla u)=0,$$ where $1<p<\infty$, can coincide in an open subset of their common domain of definition. We obtain some partial results on this interesting problem.

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Seppo Granlund, Niko Marola. 2011-05-06. On the problem of unique continuation for the p-Laplace equation. https://doi.org/10.1016/j.na.2014.01.020

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