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This paper deals with superposition operators between two arbitrary Sobolev spaces. Sufficient conditions which ensure the well-definedness, the continuity and the validity of the higher-order chain rule for such operators are given in the supercritical case.
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This page is a summary of: Superposition Operators Between Higher-order Sobolev Spaces and a Multivariate Faà di Bruno Formula: Supercritical Case, Advanced Nonlinear Studies, January 2014, De Gruyter,
DOI: 10.1515/ans-2014-0105.
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