| TOPOLOGY AND SOBOLEV SPACES (2008) | |||||||||||||
Abstract | |||||||||||||
| Let M and N be compact 1 connected oriented smooth Riemannian manifolds with or without boundary. Throughout the paper we assume that dimM ≥ 2 but dimN could possibly be one, for example N = S 1 is of interest. Our functional framework is the Sobolev space W 1,p (M,N) which is defined by considering N as smoothly embedded in | |||||||||||||
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