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Strong diffeomorphic approximation in three dimensions for 1≤p≤2

OpenAI

OpenAI Mathopenai-math/Strong-diffeomorphic-approximation-in-three-dimensions-for-1-le-p-le-2Sep 24, 2026math.APAI-generatedscore 0

We resolve the three-dimensional Ball–Evans approximation problem for $1\le p\le2$. Every $W^{1,p}$ homeomorphism between arbitrary bounded domains in ℝ 3 is a strong $W^{1,p}$ limit of smooth diffeomorphisms onto the same target.

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