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Volumn 26, Issue 9, 1996, Pages 1527-1533

An existence result for noncoercive nonconvex problems in the calculus of variations

Author keywords

Calculus of variations; Convex analysis; Existence theory; Noncoercive problems; Nonconvex problems

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIATION (CALCULUS); FUNCTIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; NUMERICAL METHODS;

EID: 0030151550     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00010-S     Document Type: Article
Times cited : (13)

References (14)
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    • The Lyapunov theorem: Its extensions and applications
    • (Edited by A. CELLINA). Springer, Berlin
    • OLECH C., The Lyapunov theorem: its extensions and applications, in Methods of Non-convex Analysis (Edited by A. CELLINA). Springer, Berlin (1990).
    • (1990) Methods of Non-convex Analysis
    • Olech, C.1
  • 4
    • 0000467856 scopus 로고
    • Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands
    • AMBROSIO L., ASCENZI O. & BUTTAZZO G., Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands, J. math. Analysis Applic. 142, 301-316 (1989).
    • (1989) J. Math. Analysis Applic. , vol.142 , pp. 301-316
    • Ambrosio, L.1    Ascenzi, O.2    Buttazzo, G.3
  • 5
    • 38249017640 scopus 로고
    • Existence and nonexistence results for noncoercive variational problems and applications in ecology
    • BOTTERON B. & DACOROGNA B., Existence and nonexistence results for noncoercive variational problems and applications in ecology, J. diff. Eqns 85, 214-235 (1990).
    • (1990) J. Diff. Eqns , vol.85 , pp. 214-235
    • Botteron, B.1    Dacorogna, B.2
  • 6
    • 0011683541 scopus 로고
    • A general approach to the existence of minimizers of one dimensional noncoercive integrals of the calculus of variations
    • BOTTERON B. & MARCELLINI P., A general approach to the existence of minimizers of one dimensional noncoercive integrals of the calculus of variations, Ann. Inst. H. Poincaré Analyse non Linèare 8, 197-223 (1991).
    • (1991) Ann. Inst. H. Poincaré Analyse Non Linèare , vol.8 , pp. 197-223
    • Botteron, B.1    Marcellini, P.2
  • 7
    • 0006484428 scopus 로고
    • An indirect method in the calculus of variations
    • CLARKE F. H., An indirect method in the calculus of variations, Trans. Am. math. Soc. 336, 655-672 (1993).
    • (1993) Trans. Am. Math. Soc. , vol.336 , pp. 655-672
    • Clarke, F.H.1
  • 8
    • 33746962715 scopus 로고
    • On a classical problem of the calculus of variations without convexity assumptions
    • CELLINA A. & COLOMBO G., On a classical problem of the calculus of variations without convexity assumptions, Ann. Inst. H. Poincaré Analyse non Linèare 7, 97-106 (1990).
    • (1990) Ann. Inst. H. Poincaré Analyse Non Linèare , vol.7 , pp. 97-106
    • Cellina, A.1    Colombo, G.2
  • 9
    • 0000489721 scopus 로고
    • Alcune osservazioni sull'esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessità
    • MARCELLINI P., Alcune osservazioni sull'esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessità, R.c. Mat. 13, 271-281 (1980).
    • (1980) R.C. Mat. , vol.13 , pp. 271-281
    • Marcellini, P.1
  • 10
    • 0025495824 scopus 로고
    • Existence theorems in optimal control problems without convexity assumptions
    • RAYMOND J. P., Existence theorems in optimal control problems without convexity assumptions, J. Optim. Theor. Applic. 67, 109-132 (1990).
    • (1990) J. Optim. Theor. Applic. , vol.67 , pp. 109-132
    • Raymond, J.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.