메뉴 건너뛰기




Volumn 22, Issue 1, 1996, Pages 161-181

On radial solutions to non-convex variational problems

Author keywords

Bipolar function; Lower semicontinuity; Minimizing sequences; Relaxed functional

Indexed keywords


EID: 0342611748     PISSN: 03621588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (1)

References (22)
  • 2
    • 0001019545 scopus 로고
    • Théorèmes d'existence pour des problèmes du calcul des variations
    • G.Aubert, R.Tahraoui, Théorèmes d'existence pour des problèmes du calcul des variations ..., J. Diff. Eq. 33 (1979), 1-15.
    • (1979) J. Diff. Eq. , vol.33 , pp. 1-15
    • Aubert, G.1    Tahraoui, R.2
  • 3
    • 0346098710 scopus 로고
    • Théorèmes d'existence en Optimisation non Convexe
    • G.Aubert, R.Tahraoui, Théorèmes d'existence en Optimisation non Convexe, Applicable Analysis 18 (1984), 75-100.
    • (1984) Applicable Analysis , vol.18 , pp. 75-100
    • Aubert, G.1    Tahraoui, R.2
  • 4
    • 10144227989 scopus 로고
    • Sur une classe de problèmes différentiels non linéaires par une méthode variationnelle
    • G.Aubert, R.Tahraoui, Sur une classe de problèmes différentiels non linéaires par une méthode variationnelle, Bollettino U.M.I. 7 3-B (1989), 739-757.
    • (1989) Bollettino U.M.I. , vol.7 , Issue.3 B , pp. 739-757
    • Aubert, G.1    Tahraoui, R.2
  • 5
    • 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: Theory Method & Applications 20 (1993), 343-347.
    • (1993) Nonlinear Analysis: Theory Method & Applications , vol.20 , pp. 343-347
    • Cellina, A.1
  • 6
    • 33746962715 scopus 로고
    • On a Classical problem of the Calculus of Variations without Convexity assumptions
    • A.Cellina, G.Colombo, On a Classical problem of the Calculus of Variations without Convexity assumptions, Ann. Inst. Henri Poincaré, Analyse non linéaire 7 (1990), 97-106.
    • (1990) Ann. Inst. Henri Poincaré, Analyse Non Linéaire , vol.7 , pp. 97-106
    • Cellina, A.1    Colombo, G.2
  • 7
    • 85013215127 scopus 로고
    • Radially Symmetric Solutions of a class of problems of the Calculus of Variations without Convexity assumptions
    • A.Cellina, F.Flores, Radially Symmetric Solutions of a class of problems of the Calculus of Variations without Convexity assumptions, Ann. Inst. Henri Poincaré, Analyse non linéaire 9 (1992), 465-478.
    • (1992) Ann. Inst. Henri Poincaré, Analyse Non Linéaire , vol.9 , pp. 465-478
    • Cellina, A.1    Flores, F.2
  • 11
    • 0027634345 scopus 로고
    • Existence theorems for a class of non convex problems in the Calculus of Variations
    • F.Flores, Existence theorems for a class of non convex problems in the Calculus of Variations, Journal of Optimization Theory and Applications 78 (1993), 31-48.
    • (1993) Journal of Optimization Theory and Applications , vol.78 , pp. 31-48
    • Flores, F.1
  • 12
    • 10144225825 scopus 로고    scopus 로고
    • Some Remarks about Relaxation Problems in the Calculus of Variations
    • to appear
    • _, Some Remarks About Relaxation Problems in the Calculus of Variations, Proceedings of the Royal Society of Edinburgh: Section A (to appear).
    • Proceedings of the Royal Society of Edinburgh: Section A
  • 13
    • 0003269816 scopus 로고
    • Rearrangements and Convexity of Level Sets in PDE
    • Berlin
    • B.Kawohl, Rearrangements and Convexity of Level Sets in PDE, Springer-Verlag Lect. Notes in Math., 1150, Berlin, 1985.
    • (1985) Springer-Verlag Lect. Notes in Math. , vol.1150
    • Kawohl, B.1
  • 14
    • 0000489721 scopus 로고
    • Alcune osservazioni sull'esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessità
    • P.Marcellini, Alcune osservazioni sull'esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessità, Red. di Matem. (2) 13 (1980), 271-281.
    • (1980) Red. di Matem. (2) , vol.13 , pp. 271-281
    • Marcellini, P.1
  • 15
    • 84987788617 scopus 로고
    • A relation between existence of minima for non convex integrals and uniqueness for non strictly convex integrals of the Calculus of Variations, in "Mathematical Theories of Optimization"
    • _, A relation between existence of minima for non convex integrals and uniqueness for non strictly convex integrals of the Calculus of Variations, in "Mathematical Theories of Optimization", Springer Lectures Notes in Mathmatics 979 (1983), 216-231.
    • (1983) Springer Lectures Notes in Mathmatics , vol.979 , pp. 216-231
  • 16
    • 38249010750 scopus 로고
    • On a parametric Problem of the Calculus of Variations without Convexity assumptions
    • C.Mariconda, On a parametric Problem of the Calculus of Variations without Convexity assumptions, J. of Math. Anal and Appl. 170 (1992), 291-297.
    • (1992) J. of Math. Anal and Appl. , vol.170 , pp. 291-297
    • Mariconda, C.1
  • 17
    • 84968503702 scopus 로고
    • Quasiconvexity and the semicontinuity of multiple variational integrals of any order
    • N.G.Meyers, Quasiconvexity and the semicontinuity of multiple variational integrals of any order, Trans. Amer. Math. Soc. 119 (1965), 125-149.
    • (1965) Trans. Amer. Math. Soc. , vol.119 , pp. 125-149
    • Meyers, N.G.1
  • 18
    • 10144224454 scopus 로고
    • New Existence results for some nonconvex optimization problems
    • P.J.Rabier, New Existence results for some nonconvex optimization problems, Commun. in Partial Diff. Equa. 14 (1989), 699-740.
    • (1989) Commun. in Partial Diff. Equa. , vol.14 , pp. 699-740
    • Rabier, P.J.1
  • 19
    • 0007137776 scopus 로고
    • Existence theorems without convexity assumptions for optimal control problems governed by parabolic and elliptic systems
    • J.P.Raymond, Existence theorems without convexity assumptions for optimal control problems governed by parabolic and elliptic systems, Applied Mathematics and Optimization 26 (1992), 39-62.
    • (1992) Applied Mathematics and Optimization , vol.26 , pp. 39-62
    • Raymond, J.P.1
  • 21
    • 0000477175 scopus 로고
    • Linear Elliptic P.D.E.'s: Level Sets, Rearrangements and a priori Estimates of Solutions
    • G.Talenti, Linear Elliptic P.D.E.'s: Level Sets, Rearrangements and a priori Estimates of Solutions, Bollettino U.M.I. 6, 4-B (1985), 917-949.
    • (1985) Bollettino U.M.I. , vol.6 , Issue.4 B , pp. 917-949
    • Talenti, G.1
  • 22
    • 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. 21 (1990), 37-52.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 37-52
    • Tahraoui, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.