Necessary conditions for the existence of a minimum in \(L_{\infty}\) for certain functionals

DOI10.1007/BF01157059zbMath0537.49012MaRDI QIDQ792612

I. A. Pakhnutov

Publication date: 1983

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

zbMATH Keywords

necessary optimality conditionsconvex functionals

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Optimality conditions for minimax problems (49K35) Convexity of real functions of several variables, generalizations (26B25) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

• Unnamed Item
• Minimum norm extremals in function spaces. With applications to classical and modern analysis
• Solutions of some non-linear variational problems in \(L^\infty\) and the problem of minimum curvature
• Perfect splines and nonlinear optimal control theory
• Pontryagin's Maximum Principle and a Minimax Problem.

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