Another Theoretical Result on a Class of Sobolev Spaces, Some New Improvements and More Corrections

doi:10.22541/au.176599432.27896817/v1

Another Theoretical Result on a Class of Sobolev Spaces, Some New Improvements and More Corrections

2025 · doi:10.22541/au.176599432.27896817/v1

preprint OA: closed

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Abstract

This short communication develops a theoretical result on the Sobolev space W 1,2 (Ω). More specifically, under the indicated hypotheses, we prove that a bounded sequence in such a space has a subsequence with the gradient converging almost everywhere to a measurable function.

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