Superposition Operators Between Higher-order Sobolev Spaces and a Multivariate Faà di Bruno Formula: Supercritical Case

This paper is a continuation of the work begun in [6] on superposition operators, (N u) (x) = g(u(x)), 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 sup...

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Veröffentlicht in:	Advanced nonlinear studies 2014-02, Vol.14 (1), p.137-158
Hauptverfasser:	Dinca, George, Isaia, Florin
Format:	Artikel
Sprache:	eng
Schlagworte:	higher-order chain rule homogeneous Dirichlet conditions Sobolev spaces superposition operators
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