A simple proof of attainability for the Sobolev inequality

Megumi Sano

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arXiv · 2409.16567

A simple proof of attainability for the Sobolev inequality

Megumi Sano

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Abstract

We give a simple proof of the existence of a minimizer for the Sobolev inequality. Our proof is based on a representation formula via a cut-off fundamental solution.

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Megumi Sano. 2024-09-25. A simple proof of attainability for the Sobolev inequality. https://arxiv.org/abs/2409.16567

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