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Question about density of $C^{\infty}(M,N)$ in $W^{1,p}(M,N)$ with $N$ not compact

Hi! Let $M$ be a compact manifold possibly with boundary with $\dim(M)=m$, let $N$ be a non compact manifold with $\dim(N)=n$. Let me recall the definition of the sobolev space $W^{1,p}(M,N)$. ...
Italo's user avatar
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Upper bound on the geodesic distance in a Lipschitz domain

I was wondering if the following result is true. If yes, could you please suggest a reference. The result seems to have been used at several papers without quoting any reference. Is the proof ...
Tatin's user avatar
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