On the continuity of the generalized Nemytskiĭ operator in spaces of differentiable functions

DOI10.1023/A:1013998928829zbMath1026.47050MaRDI QIDQ1810060

K. O. Besov

Publication date: 15 June 2003

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

zbMATH Keywords

Sobolev spaceLebesgue spaceCarathéodory conditiongeneral superposition operatorgeneralized Nemytskij operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

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Approximation of solutions to second order nonlinear Picard problems with Carathéodory right-hand side ⋮ Solvability of abstract semilinear equations by a global diffeomorphism theorem ⋮ Common coupled fixed point results for operators without mixed monotone type properties and application to nonlinear integral equations

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