Density of smooth functions between two manifolds in Sobolev spaces. (English) Zbl 0657.46027

Bethuel, Fabrice; Zheng, Xiaomin

J. Funct. Anal. 80, No. 1, 60-75 (1988).

Author’s summary: We give some results concerning density or non-density of smooth functions between two compact manifolds \(M^ n\) and \(N^ k\) in Sobolev spaces \(W^{1,p}(M^ n,N^ k)\). In particular, we study the case \(N=S^ k\).

Reviewer: J.Włoka

MSC:

46E35

Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

Keywords:

density or non-density of smooth functions between two compact manifolds; Sobolev spaces

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