메뉴 건너뛰기




Volumn 48, Issue 1, 2003, Pages 39-66

Autonomous integral functionals with discontinuous nonconvex integrands: Lipschitz regularity of minimizers, DuBois-Reymond necessary conditions, and Hamilton-Jacobi equations

Author keywords

Discontinuous Lagrangians; DuBois Reymond necessary conditions; Hamilton Jacobi equations; Lipschitz minimizers; Nonconvex integrands

Indexed keywords

HAMILTONIANS; LAGRANGE MULTIPLIERS; PROBLEM SOLVING;

EID: 11944253919     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-003-0768-4     Document Type: Article
Times cited : (40)

References (20)
  • 2
    • 0000467856 scopus 로고
    • Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands
    • Ambrosio L, Ascenzi O, Buttazzo G (1989) Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. J Math Anal Appl 142:301-316
    • (1989) J Math Anal Appl , vol.142 , pp. 301-316
    • Ambrosio, L.1    Ascenzi, O.2    Buttazzo, G.3
  • 3
    • 0004099213 scopus 로고
    • Optima and Equilibria
    • Springer-Verlag, Berlin
    • Aubin J-P (1993) Optima and Equilibria. Graduate Texts in Mathematics 140. Springer-Verlag, Berlin
    • (1993) Graduate Texts in Mathematics , vol.140
    • Aubin, J.-P.1
  • 5
    • 0001135181 scopus 로고
    • One dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
    • Ball J, Mizel VJ (1990) One dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation. Arch Rational Mech Anal 90:325-388
    • (1990) Arch Rational Mech Anal , vol.90 , pp. 325-388
    • Ball, J.1    Mizel, V.J.2
  • 6
    • 0026254228 scopus 로고
    • Some characterizations of optimal trajectories in control theory
    • Cannarsa P, Frankowska H (1991) Some characterizations of optimal trajectories in control theory. SIAM J Control Optim 29:1322-1347
    • (1991) SIAM J Control Optim , vol.29 , pp. 1322-1347
    • Cannarsa, P.1    Frankowska, H.2
  • 8
    • 0742288932 scopus 로고    scopus 로고
    • The classical problem of the calculus of variations in the autonomous case: Relaxation and Lipschitzianity of the solutions
    • (to appear)
    • Cellina A (to appear) The classical problem of the calculus of variations in the autonomous case: relaxation and Lipschitzianity of the solutions. Trans Amer Math Soc
    • Trans Amer Math Soc
    • Cellina, A.1
  • 9
    • 0003287433 scopus 로고
    • Optimization theory and applications. Problems with ordinary differential equations
    • Springer-Verlag, Berlin
    • Cesari L ( 1983) Optimization Theory and Applications. Problems with Ordinary Differential Equations. Applied Mathematics 17. Springer-Verlag, Berlin
    • (1983) Applied Mathematics , vol.17
    • Cesari, L.1
  • 11
    • 84966256938 scopus 로고
    • Regularity properties of solutions to the basic problem in the calculus of variations
    • Clarke FH, Vinter RB (1985) Regularity properties of solutions to the basic problem in the calculus of variations. Trans Amer Math Soc 289:73-98
    • (1985) Trans Amer Math Soc , vol.289 , pp. 73-98
    • Clarke, F.H.1    Vinter, R.B.2
  • 12
    • 0034425672 scopus 로고    scopus 로고
    • Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities
    • Dal Maso G, Frankowska H (2000) Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities. ESAIM Control Optim Cale Var 5:369-394
    • (2000) ESAIM Control Optim Cale Var , vol.5 , pp. 369-394
    • Dal Maso, G.1    Frankowska, H.2
  • 14
    • 0001756668 scopus 로고
    • On lower semicontinuity of integral functionals
    • Ioffe AD (1977) On lower semicontinuity of integral functionals. SIAM J Control Optim 15:521-521, 991-1000
    • (1977) SIAM J Control Optim , vol.15 , pp. 521-521
    • Ioffe, A.D.1
  • 16
    • 0016952427 scopus 로고
    • Weak lower semicontinuity of integral functionals
    • Olech C (1976) Weak lower semicontinuity of integral functionals. J Optim Theory Appl 19:3-16
    • (1976) J Optim Theory Appl , vol.19 , pp. 3-16
    • Olech, C.1
  • 18
    • 54249096254 scopus 로고
    • Sur une méthôde directe du calcul des variations
    • Tonelli L (1915) Sur une méthôde directe du calcul des variations. Rend Cire Mat Palermo 39:223-264
    • (1915) Rend Cire Mat Palermo , vol.39 , pp. 223-264
    • Tonelli, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.