On the autonomous Nemytskii operator between Sobolev spaces in the critical and supercritical cases: well-definedness and higher-order chain rule

DOI10.1016/j.na.2021.112576OpenAlexW3204514816MaRDI QIDQ2238797

Florin Isaia

Publication date: 2 November 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112576

zbMATH Keywords

Sobolev spacescontinuityboundednessNemytskii operatorshigher-order chain rule

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Lipschitz (Hölder) classes (26A16) Continuity and differentiation questions (26B05) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

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