Troutman, John L. Variational calculus with elementary convexity. With the assistence of W. Hrusa. (English) Zbl 0523.49001 Undergraduate Texts in Mathematics. New York - Heidelberg - Berlin: Springer-Verlag. XIV, 364 p. DM 86.00; $ 37.10 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 25 Documents MSC: 49-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control 49J15 Existence theories for optimal control problems involving ordinary differential equations 49L99 Hamilton-Jacobi theories 49J10 Existence theories for free problems in two or more independent variables 49J50 FrĂ©chet and Gateaux differentiability in optimization 49J27 Existence theories for problems in abstract spaces 26A51 Convexity of real functions in one variable, generalizations 26B25 Convexity of real functions of several variables, generalizations 58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals 90C25 Convex programming Keywords:optimization problems; convex functions; local extrema; Euler-Lagrange equations; Weierstrass condition; Hamilton-Jacobi equation PDF BibTeX XML OpenURL