@article{ASNSP_2000_4_29_4_807_0, author = {Bucur, Dorin and Varchon, Nicolas}, title = {Boundary variation for a {Neumann} problem}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {807--821}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 29}, number = {4}, year = {2000}, zbl = {1072.35063}, mrnumber = {1822408}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2000_4_29_4_807_0/} }
TY - JOUR AU - Bucur, Dorin AU - Varchon, Nicolas TI - Boundary variation for a Neumann problem JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2000 DA - 2000/// SP - 807 EP - 821 VL - Ser. 4, 29 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_2000_4_29_4_807_0/ UR - https://zbmath.org/?q=an%3A1072.35063 UR - https://www.ams.org/mathscinet-getitem?mr=1822408 LA - en ID - ASNSP_2000_4_29_4_807_0 ER -
Bucur, Dorin; Varchon, Nicolas. Boundary variation for a Neumann problem. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 29 (2000) no. 4, pp. 807-821. http://www.numdam.org/item/ASNSP_2000_4_29_4_807_0/
[1] Stopping times and r-convergence, Trans. American Math. Soc. 303, 1, September (1987), 1-38. | MR 896006 | Zbl 0627.60071
- - ,[2] Homogénéisation de problèmes eliptiques dégénérés, C. R. Acad. Sci. Paris, Sér. I Math. 327 (1988), 787-792. | MR 1659998 | Zbl 0920.35024
- ,[3] Homogenization of a nonperiodic material, J. Math. Pures Appl. (9) 73 (1994), no. 1, 47-66. | MR 1260600 | Zbl 0835.35016
,[4] Shape analysis for Nonsmooth Elliptic Operators, Appl. Math. Lett. 9 No. 3 (1996), 11-16. | MR 1385991 | Zbl 0874.49035
,[5] Shape optimization problem governed by nonlinear state equation" Proc. Roy. Soc. Edinburgh 128 A (1998), p. 945-963. | MR 1642112 | Zbl 0918.49030
- ,[6] A duality approach for the boundary variation for the Neumann problem, Preprint Université de Besançon, 14/ 2000. | MR 1951783
- ,[7] Continuité par rapport au domaine dans le problème de Neumann, C. R. Acad. Sci. Paris Sér. I Math. 319 (1994), p. 57-60. | MR 1285898 | Zbl 0805.35010
- ,[8] N-Dimensional Shape Optimization under Capacitary Constraints, J. Differential Equations 123 (1995), No. 2, 504-522. | MR 1362884 | Zbl 0847.49029
- ,[9] Boundary Optimization under Pseudo Curvature Constraint, Annali Scuola Norm. Sup. Pisa Cl. Sci. (4), XXIII, Fasc. 4, (1996), p. 681-699. | Numdam | MR 1469570 | Zbl 0889.49026
- ,[10] Continuity of Neumann linear elliptic problems on varying two-dimensional bounded open sets., Comm. Partial Differential Equations 22, No. 5-6 (1997), 811-840. | MR 1452169 | Zbl 0901.35019
- ,[11] Exercices de mathématiques pour l'agrégation", Analyse 1, 2e édition, Masson, 1997. | MR 1446001 | Zbl 0865.00011
- - , "[12] On the existence of a solution in a domain identification problem, J. Math. Anal. Appl., 52 (1975), 189-289. | MR 385666 | Zbl 0317.49005
,[13] Asymptotic behaviour of a sequence of Neumann problems, Comm. Partial Differential Equations 22, No.9-10 (1997), 1691-1729. | MR 1469587 | Zbl 0895.35011
,[14] The thick Neumann's sieve, Ann. Mat. Pura Appl. (4) 147 (1987), 363-402. | MR 916715 | Zbl 0635.35021
,[15] Measure Theory and Fine Properties of Functions", CRC Press, Inc. 1992. | MR 1158660 | Zbl 0804.28001
- , "[16] Nonlinear Potential Theory of Degenerate Elliptic Equations", Clarendon Press, Oxford, New York, Tokyo, 1993. | MR 1207810 | Zbl 0780.31001
- - , "[17] Averaging of the Neumann problem for higher-order elliptic operators, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 1997, no. 4, 43-47. | MR 1491510 | Zbl 0923.35017
- ,[18] On the Neumann sieve, in A. Marino et al., editor, Nonlinear Variational Problems, 127 in Res. Notes in Math., Pitman 1985, 24-32. | MR 807534 | Zbl 0586.35037
,[19] POMMERENKE, "Boundary Behaviour of Conformal Maps", Springer-Verlag, Berlin, 1992. | MR 1217706 | Zbl 0762.30001
[20] "Analyse réelle et complexe", Masson, Paris, 1975. | MR 662565 | Zbl 00865232
,[21] On optimal shape design, J. Math. Pures Appl. 72 (1993), 537-551. | MR 1249408 | Zbl 0849.49021
,