Article contents
Nondegeneracy of the bubble for the critical p-Laplace equation
Published online by Cambridge University Press: 20 February 2020
Abstract
We prove the non-degeneracy of the extremals of the Sobolev inequality
\[ \int_{\mathbb R^N}|\nabla u|^p\,\rd x\ge \mathcal S_p\int_{\open R^N}|u|^\frac{Np}{N-p}\,\rd x,\quad u\in \mathcal D^{1,p}(\open R^N) \]
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 151 , Issue 1 , February 2021 , pp. 151 - 168
- Copyright
- Copyright © The Author(s) 2020. Published by The Royal Society of Edinburgh
References
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