Existence theorems for moving boundary optimization problems

 Access to full text

 Full (PDF)

1. [1] O. Caligaris - P. Oliva, Un teorema di esistenza per problemi di Lagrange in spazi di Banach, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 61 (1976), pp. 571-579. Zbl0372.49002MR467441
2. [2] O. Caligaris - P. Oliva, An existence theorem for Lagrange problems in Banach spaces, J. Optimization Theory Appl., 27 (1978), pp. 83-91. Zbl0353.49005MR501271
3. [3] O. Caligaris - P. Oliva, Non convex control problems in Banach spaces, Appl. Math. Optim.5 (1979) pp. 315-329. Zbl0422.49011MR551079
4. [4] O. Caligaris - P. Oliva, Some remarks about Bolza and Lagrange problems in Hilbert spaces, 15-B (1978) pp. 956-967, Boll. Un. Mat. Ital. Zbl0395.49016MR524114
5. [5] O. Caligaris - P. Oliva, Existence theorems for higher order problems in calculus of variations, to appear. Zbl0711.49001
6. [6] E. De Giorgi, Su una teoria generale della misura (r — 1)-dimensionale in uno spazio ad r dimensioni, Ann. Mat. Pura Appl., 36 (1954), pp. 191-213. Zbl0055.28504MR62214
7. [7] E. De Giorgi, Nuovi teoremi relativi alle misure (r — 1)-dimensionali in uno spazio ad r dimensioni, Ricerche Mat., 4 (1955), pp. 95-113. Zbl0066.29903MR74499
8. [8] F. Ferro, Optimization theorems in the n-dimensional calculus of variations, 16-B (1979) pp. 225-265, Boll. Un. Mat. Ital. Zbl0403.49011MR536539
9. [9] W.H. Fleming, Functions whose partial derivatives are measures, Illinois J. Math., 4 (1960), pp. 452-478. Zbl0151.05402MR130338
10. [10] A.D. Ioffe, An existence theorem for a general Bolza problem, SIAM J. Control Optimization, 14 (1976), pp. 458-466. Zbl0341.49004MR405196
11. [11] A.D. Ioffe, On lower semicontinuity of integral functional I, SIAM J. Control Optimization, 15 (1977), pp. 521-538. Zbl0361.46037MR637234
12. [12] C. Kuratowski, Topologie, Panstwowe Wydawnictwo Naukowe, Warszawa, 1958. Zbl0078.14603MR90795
13. [13] C.B. MorreyJr., Multiple integrals in the calculus of variations, Springer, Berlin, 1966. Zbl0142.38701
14. [14] J Nečas, Les métodes directes en théorie des équations elliptiques, Masson et C.ie, éditeurs, Paris; Academia, éditeurs, Prague, 1967. MR227584
15. [15] R.T. Rockafellar, Integral functionals, normal integrands and measurable selections, in Nonlinear Operators and the Calculus of variations, L. Waelbroeck editor, pp. 157-207, Springer-Verlag, 1976. Zbl0374.49001MR512209
16. [16] R.T. Rockafellar, Optimal arcs and the minimum value function in problems of Lagrange, Trans. Amer. Math. Soc., 180 (1973), pp. 53-83. Zbl0281.49005MR320852
17. [17] R.T. Rockafellar, Existence theorems for general control problems of Bolza and Lagrange, Advances in Math., 15 (1975), pp. 312-333. Zbl0319.49001MR365273
18. [18] R.T. Rockafellar, Convex integral functionals and duality, in Contribution to Nonlinear Analysis, E. H. Zarantonello editor, pp. 215-236, Academic Press, New York, 1971. Zbl0295.49006MR390870