Superposition operator in Sobolev spaces on domains

DOI10.1090/S0002-9939-00-05421-6zbMath0958.47034OpenAlexW1556430892MaRDI QIDQ4505895

Denis A. Labutin

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05421-6

zbMATH Keywords

superposition operatorsupercritical caseSoboblev spacessubcricial case

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)

Related Items (1)

Superposition operators on Dirichlet spaces

Cites Work

• Le calcul fonctionnel dans les espaces de Sobolev. (Functional calculus in Sobolev spaces)
• Every superposition operator mapping one Sobolev space into another is continuous
• Sobolev-Poincaré implies John
• Absolute continuity on tracks and mappings of Sobolev spaces
• Complete Characterization of Functions Which Act, Via Superposition, on Sobolev Spaces
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