Closed operators and existence theorems in multidimensional problems of the calculus of variations

DOI10.1090/S0002-9904-1974-13454-3zbMath0287.49004OpenAlexW2040211163MaRDI QIDQ4775055

Lamberto Cesari, Paul J. Kaiser

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1974-13454-3

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence theories for problems in abstract spaces (49J27)

Related Items (3)

Geometric and analytic views in existence theorems for optimal control in Banach spaces. I: Distributed parameters ⋮ Existence of optimum controls ⋮ Geometric and analytic views in existence theorems for optimal control. II: Distributed and boundary controls

Cites Work

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• Monotone (nonlinear) operators in Hilbert space
• Closure theorems for orientor fields and weak convergence
• Closure theorems without seminormality conditions
• Lower semicontinuity and lower closure theorems without seminormality conditions
• Seminormality and upper semicontinuity in optimal control
• Upper semicontinuity properties of variable sets in optimal control
• Existence theorems in multidimensional problems of optimization with distributed and boundary controls
• Les fonctions semi-continues dans l'espace des ensembles fermés
• A necessary and sufficient condition for lower semicontinuity
• Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
• Existence Theorems for Optimal Controls of the Mayer Type

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