On the minimum problem for a class of non-coercive functionals

Journal of Differential Equations

Volumn 127, Issue 1, 1996, Pages 225-262

  Cellina, Arrigo ^a   Treu, Giulia ^a,b   Zagatti, Sandro ^c  

^a SISSA   (Italy)

^b UNIVERSITY OF UDINE   (Italy)

^c UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030147296     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0069     Document Type: Article

References (13)

1. [AAB] L. AMBROSIO, O. ASCENZI, AND G. BUTTAZZO, Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands, J. Math. Anal. Appl. 142 (1989), 301-316.
2. [BD] B. BOTTERON AND B. DACOROGNA, Existence and non-existence results for non-coercive variational problems and application in ecology, J. Differential Equations 85 (1990), 214-235.
3. [BM] B. BOTTERON AND P. MARCELLINI, A general approach to the existence of minimizers of one dimensional non-coercive integrals of the calculus of variations, Ann. Inst. H. Poincaré 8 (1991), 197-223.
4. [C] L. CESARI, "Optimization, Theory and Applications," Springer-Verlag, New York, 1983.
5. [C11] F. H. CLARKE, "Methods of Dynamic and Nonsmooth Optimization," SIAM, Philadelphia, 1989.
6. [C12] F. H. CLARKE, An indirect method in the calculus of variations, Trans. Am. Math. Soc. 336, No. 2 (1993), 655-673.
7. [CL] F. H. CLARKE AND PH. LOEWEN, An intermediate existence theory in the calculus of variations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 16 (1989), 487-526.
8. [CV] F. H. CLARKE AND R. B. VINTER, Existence and regularity in the small in the calculus of variations, J. Differential Equations 59 (1985), 336-354.
9. [D] B. DACOROGNA, "Direct Methods in the Calculus of Variations," Applied Math. Sciences, Vol. 78, Springer-Verlag, Berlin, 1989.
10. [ET] I. EKELAND AND R. TEMAM, "Convex Analysis and Variational Problems," North-Holland, Amsterdam/Oxford, 1976.
11. m), preprint, 1992.
12. [S] M. STRUWE, "Variational Methods," Springer-Verlag, Berlin, 1990.
13. [WZ] R. L. WHEEDEN AND A. ZYGMUND, "Measure and Integral," Dekker, New York, 1977.