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In this paper we investigate the degree and the homotopy theory of Orlicz–Sobolev mappings W1,P(M,N) between manifolds, where the Young function P satisfies a divergence condition and forms a slightly larger space than W1,n, n=dim M. In particular, we prove that if M and N are compact oriented manifolds without boundary and dim M=dim N=n, then the degree is well defined in W1,P(M,N) if and only...
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