Minimization of functionals of the gradient by Baire's theorem

SIAM Journal on Control and Optimization

Volumn 38, Issue 2, 2000, Pages 384-399

  Zagatti, Sandro ^a  

^a SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; PROBLEM SOLVING;

BAIRE'S THEOREM;

VARIATIONAL TECHNIQUES;

EID: 0033902409     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012998335206     Document Type: Article

References (16)

1. A. BRESSAN, The most likely path of a differential inclusion, J. Differ. Equations, 88 (1990), pp. 155-174.
2. A. BRESSAN AND F. FLORES, On total differential inclusions, Rend. Sem. Mat. Univ. Padova, 92 (1994), pp. 9-16.
3. A. CELLINA, On minima of a functional of the gradient: Necessary conditions, Nonlinear Anal., 20 (1993), pp. 337-341.
4. A. CELLINA, On minima of a functional of the gradient: Sufficient conditions, Nonlinear Anal., 20 (1993), pp. 343-347.
5. B. DACOROGNA, Direct Methods in the Calculus of Variations, Springer-Verlag, Berlin, 1989.
6. B. DACOROGNA AND P. MARCELLINI, General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases, Acta Math., 178 (1997), pp. 1-37.
7. B. DACOROGNA AND P. MARCELLINI, Cauchy-Dirichlet problem for first order nonlinear systems, J. Funct. Anal., 152 (1998), pp. 404-446.
8. F. S. DE BLASI AND G. PIANIGIANI, Non convex valued differential inclusions in Banach spaces, Funkcial. Ekvac., 25 (1982), pp. 153-162.
9. F. S. DE BLASI AND G. PIANIGIANI, On the Dirichlet problem for first order differential equations. A Baire category approach, Nonlinear Differential Equations Appl., 6 (1999), pp. 13-34.
10. L. C. EVANS AND R. F. GARIEPY, Measure Theory and Fine Properties of Functions, CRC Press, Boca Raton, FL, 1992.
11. I. EKELAND AND R. TEMAM, Convex Analysis and Variational Problems, North-Holland, Amsterdam, 1976.
12. J. FORAN, Fundamentals of Real Analysis, Dekker, New York, 1991.
13. D. KINDERLEHER AND G. STAMPACCHIA, An Introduction to Variational Inequalities and Their Applications, Academic Press, New York, 1980.
14. R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1972.
15. R. L. WHEEDEN AND A. ZYGMUND, Measure and Integral. An Introduction to Real Analysis, Dekker, New York, 1977.
16. S. ZAGATTI, On the Dirichlet problem for vectorial Hamilton-Jacobi equations, SIAM J. Math. Anal., 29 (1998), pp. 1481-1491.