Continuity and differentiability properties of the Nemitskii operator in Hölder spaces

DOI10.1017/S0017089500007023zbMath0637.47035OpenAlexW2115654801MaRDI QIDQ3776928

R. Nugari

Publication date: 1988

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500007023

zbMATH Keywords

nonlinear elliptic boundary value problemscontinuously differentiablelocally Lipschitznonlinear superposition operatorvector valued functionsNemitskij operator in Hölder spaces

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Spaces of vector- and operator-valued functions (46E40) Lipschitz (Hölder) classes (26A16) Derivatives of functions in infinite-dimensional spaces (46G05) Nonlinear operators and their properties (47H99)

Related Items (3)

Continuity and Fréchet-differentiability of Nemytskij operators in Hölder spaces ⋮ Higher order differentiability properties of the composition and of the inversion operator ⋮ On the autonomous Nemytskij operator in Hölder spaces

Cites Work

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