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Volumn 14, Issue 3, 1997, Pages 339-352

Minimizing a functional depending on ∇u and on u

(1)  Cellina, Arrigo a  

a SISSA   (Italy)

Author keywords

Gradient; Minimization

Indexed keywords


EID: 0000425132     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(97)80140-0     Document Type: Article
Times cited : (26)

References (16)
  • 1
    • 38249005312 scopus 로고
    • On minima of a functional of the gradient: Sufficient conditions
    • A. CELLINA, On minima of a functional of the gradient: sufficient conditions, Nonlinear Analysis, TMA, Vol. 20, 1993, pp. 343-347.
    • (1993) Nonlinear Analysis, TMA , vol.20 , pp. 343-347
    • Cellina, A.1
  • 2
    • 0000780871 scopus 로고
    • On minima of radially symmetric functionals of the gradient
    • A. CELLINA and S. PERROTTA, On minima of radially symmetric functionals of the gradient, Nonlinear Analysis, TMA, Vol. 23, 1994, pp. 239-249.
    • (1994) Nonlinear Analysis, TMA , vol.23 , pp. 239-249
    • Cellina, A.1    Perrotta, S.2
  • 4
    • 0028468363 scopus 로고
    • A version of Olech's Lemma in a problem of the calculus of variations
    • A. CELLINA and S. ZAGATTI, A version of Olech's Lemma in a Problem of the Calculus of Variations, SIAM J. Control and Optimization, Vol. 32, 1994, pp. 1114-1127.
    • (1994) SIAM J. Control and Optimization , vol.32 , pp. 1114-1127
    • Cellina, A.1    Zagatti, S.2
  • 5
    • 0029309411 scopus 로고
    • An existence result in a problem of the vectorial case of the calculus of variations
    • A. CELLINA and S. ZAGATTI, An Existence Result in a Problem of the Vectorial Case of the Calculus of Variations, SIAM J. Control and Optimization, Vol. 333, 1995.
    • (1995) SIAM J. Control and Optimization , vol.333
    • Cellina, A.1    Zagatti, S.2
  • 6
    • 85030043442 scopus 로고
    • Existence of minimizers for non quasiconvex integrals
    • Preprint Ecole Polytechnique Federale Lausanne, June to appear
    • B. DACOROGNA and P. MARCELLINI, Existence of Minimizers for non quasiconvex integrals, Preprint Ecole Polytechnique Federale Lausanne, June 1994, to appear in: Arch. Rat. Mech. Anal.
    • (1994) Arch. Rat. Mech. Anal.
    • Dacorogna, B.1    Marcellini, P.2
  • 8
    • 84973960437 scopus 로고
    • A necessary and sufficient condition for nonattainement and formation of microstructure almost everywhere in scalar variational problems
    • G. FRIESECKE, A necessary and sufficient condition for nonattainement and formation of microstructure almost everywhere in scalar variational problems, Proc. Royal Soc. Edinburgh, Vol. 124, 1984, pp. 437-471.
    • (1984) Proc. Royal Soc. Edinburgh , vol.124 , pp. 437-471
    • Friesecke, G.1
  • 10
    • 0022766604 scopus 로고
    • Numerical study of a relaxed variational problem from optimal design
    • J. GOODMAN, V. R. KOHN and L. REYNA, Numerical study of a relaxed variational problem from optimal design, Computer Methods in Appl. Math. and Eng., Vol. 57, 1986, pp. 107-127.
    • (1986) Computer Methods in Appl. Math. and Eng. , vol.57 , pp. 107-127
    • Goodman, J.1    Kohn, V.R.2    Reyna, L.3
  • 11
    • 0000439529 scopus 로고
    • Analysis and numerical studies of a problem of shape design
    • B. KAWOHL, J. STARA and G. WITTUM, Analysis and Numerical Studies of a Problem of Shape Design, Arch. Rat. Mech. Anal., Vol. 114, 1991, pp. 349-363.
    • (1991) Arch. Rat. Mech. Anal. , vol.114 , pp. 349-363
    • Kawohl, B.1    Stara, J.2    Wittum, G.3
  • 12
    • 84990602642 scopus 로고
    • Optimal design and relaxation of variational problems I
    • R. V. KOHN and G. STRANG, Optimal Design and Relaxation of Variational Problems I, Comm. Pure Appl. Math., Vol. 39, 1986, pp. 113-137.
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 113-137
    • Kohn, R.V.1    Strang, G.2
  • 13
    • 0001286601 scopus 로고
    • Existence theorems for nonconvex problems
    • E. MASCOLO and R. SCHIANCHI, Existence Theorems for Nonconvex Problems, J. Math. Pures Appl., Vol. 62, 1983, pp. 349-359.
    • (1983) J. Math. Pures Appl. , vol.62 , pp. 349-359
    • Mascolo, E.1    Schianchi, R.2
  • 15
    • 0002555473 scopus 로고
    • Sur une classe de fonctionnelles non convexes et applications
    • R. TAHRAOUI, Sur une classe de fonctionnelles non convexes et applications, SIAM J. Math. Anal., Vol. 21, 1990, pp. 37-52.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 37-52
    • Tahraoui, R.1
  • 16
    • 0007042907 scopus 로고
    • Théorèmes d'existence en calcul des variations et applications a l'élasticité non lineaire
    • R. TAHRAOUI, Théorèmes d'existence en calcul des variations et applications a l'élasticité non lineaire, Proc. Royal Soc. Edinburgh, Vol. 109 A, 1988, pp. 51-78.
    • (1988) Proc. Royal Soc. Edinburgh , vol.109 A , pp. 51-78
    • Tahraoui, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.