The necessity of the carathéodory conditions for the lower semicontinuity in measure of the multivalued nemytskii operator

DOI10.1016/S0362-546X(96)00288-XzbMath0894.47054MaRDI QIDQ4374904

Yu. V. Nepomnyashchikh, Arcady Ponosov

Publication date: 17 February 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

lower semicontinuityCarathéodory conditionsmultivalued Nemytskij operator

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items (3)

Solvability of inclusions of Hammerstein type ⋮ Acyclicity of the solution set of two-point boundary value problems for second order multivalued differential equations ⋮ Linear and nonlinear integral functional on the space of continuous vector functions

Cites Work

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• Multivalued superposition operators in ideal spaces of vector functions. III
• Multivalued superposition operators
• The Carathéodory \(D\)-conditions and their connection with the \(D\)-continuity of the Nemytskij operator
• On the Nemytskii conjecture
• ON THE CARATHEODORY CONDITIONS
• The representation of Carathéodory operators

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