Bethuel, Fabrice; Zheng, Xiaomin Density of smooth functions between two manifolds in Sobolev spaces. (English) Zbl 0657.46027 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 Cited in 4 ReviewsCited in 104 Documents 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 PDF BibTeX XML Cite \textit{F. Bethuel} and \textit{X. Zheng}, J. Funct. Anal. 80, No. 1, 60--75 (1988; Zbl 0657.46027) Full Text: DOI OpenURL References: [1] Eells, J; Lemaire, L, Bull. London math. soc., 10, 1-68, (1978) [2] Schoen, R; Uhlenbeck, K, Boundary regularity and the Dirichlet problem for harmonic maps, J. differential geom., 18, 253-268, (1983) · Zbl 0547.58020 [3] {\scR. Schoen and K. Uhlenbeck}, Approximation theorems for Sobolev mappings, preprint. · Zbl 0521.58021 [4] Bethuel, F; Zheng, X, Sur la densité des fonctions régulières entre deux variétés dans des expaces de Sobolev, C.R. acad. sci. Paris, 303, 447-449, (1986) · Zbl 0595.46036 [5] Brezis, H; Coron, J-M; Lieb, E, Harmonic maps with defects, Comm. math. phys., 107, 649-705, (1986) · Zbl 0608.58016 [6] {\scM. Escobedo}, in preparation. [7] {\scB. White}, Infima of energy functionals in homotopy classes, preprint. · Zbl 0588.58017 [8] {\scR. Hardt and F. H. Lin}, Mappings that minimize the pth power of the gradient, preprint. [9] Hardt, R; Kinderlehrer, D; Lin, F.H, Existence and partial regularity of static liquid crystal configurations, Comm. math. phys., 105, 547-570, (1986) · Zbl 0611.35077 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.