{"id":"openai-math/Strong-diffeomorphic-approximation-in-three-dimensions-for-1-le-p-le-2","pdf":"https://github.com/openai/math/blob/main/preprints/Strong-diffeomorphic-approximation-in-three-dimensions-for-1-le-p-le-2-September-24-2026/main.pdf","url":"https://github.com/openai/math/tree/main/preprints/Strong-diffeomorphic-approximation-in-three-dimensions-for-1-le-p-le-2-September-24-2026","tags":["sobolev-spaces","geometric-analysis","diffeomorphisms","approximation"],"score":0,"title":"Strong diffeomorphic approximation in three dimensions for 1≤p≤2","domain":"Partial differential equations","family":"368","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AP","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"The three-dimensional Ball–Evans approximation problem"}