References
- Lavrentiev M. Sur quelques problèmes du Calcul des Variations [On some problems of the Calculus of Variations]. Ann. Mat. Pura Appl. 1926;4:7–28.
- Tonelli L. Sur une question du Calcu des Variations [On a question of the Calculus of Variations]. Rec. Math. Moscou. 1926;1:87–98.
- Manià B. Sopre un Esempio di Lavrentieff [On an example of Lavrentiev]. Boll. Unione Mat. Ital. 1934;13:147–153.
- Cinquini S. Sopra il problema dell’approssimaziione delle curv dello spazio e degli integrali [On the approximation of space curves and integrals]. Ann. Mat. Pura Appl. 1961;54:335–357.
- Angell TS. A note on approximation of optimal solutions of free problems of the calculus of variations. Rend. Circ. Mat. Palermo Ser. 2. 1979;28:258–272.
- Ball JM, Mizel VJ. Singular minimizers for regular one-dimensional problems in the calculus of variations. Bull. Amer. Math. Soc. (NS). 1984;11:143–146.
- Clarke FH, Vinter RB. On the conditions under which the Euler equation or the maximum principle hold. Appl. Math. Optim. 1984;12:73–79.
- Loewen PD. On the Lavrentiev phenomenon. Canad. Math. Bull. 1987;30:102–108.
- Cesari L, Angell TS. On the Lavrentiev phenomenon. Calcolo. 1985;22:17–29.
- Clarke FH, Vinter RB. Regularity properties of solutions to the basic problem in the calculus of variations. Trans. Amer. Math. Soc. 1985;289:73–98.
- Vinter RB. Optimal control. Systems & control: foundations & applications. Boston (MA): Birkhäuser Boston; 2000.
- Buttazzo G, Mizel VJ. Interpretation of the Lavrentiev phenomenon by relaxation. J. Funct. Anal. 1992;110:434–460.
- Treu G, Zagatti S. On the Lavrentiev phenomenon and the validity of Euler--Lagrange equations for a class of integral functionals. J. Math. Anal. Appl. 1994;184:56–74.
- Zaslavski AJ. Nonoccurence of the Lavrentiev phenomenon for nonconvex variational problems. Ann. I. H. Poincaré. 2005;22:579–596.
- Zaslavski AJ. Nonoccurrence of the Lavrentiev phenomenon for nonconvex smooth variational problems in Banach spaces. Commun. Appl. Nonlinear Anal. 2006;13:79–91.
- Zaslavski AJ. Nonoccurence of gap for nonconvex nonautonomous variational problems. J. Nonlinear Convex Anal. 2007;8:135–152.
- Cesari L, Suryanarayana MB. Closure theorems without seminormalilty conditions. J. Optim. Theory Appl. 1975;15:441–465.
- Cesari L. Optimization-theory and applications: problems with ordinary differential equations. Vol. 17, Applications and applied mathematics. New York (NY): Springer-Verlag; 1983.
- Clarke FH. Optimization and nonsmooth analysis. Canadian mathematical society series of monographs and advanced texts. New York (NY): John Wiley & Sons; 1983.