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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30236完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王藹農(Ai-Nung Wang) | |
| dc.contributor.author | Chien-Lun Lai | en |
| dc.contributor.author | 賴建綸 | zh_TW |
| dc.date.accessioned | 2021-06-13T01:45:32Z | - |
| dc.date.available | 2007-07-26 | |
| dc.date.copyright | 2007-07-26 | |
| dc.date.issued | 2007 | |
| dc.date.submitted | 2007-07-11 | |
| dc.identifier.citation | [BC] J.L.Barbosa and M.P. do Carmo, A proof of a general isoperimetric inequality for
surfaces, Math.Z.162(1978), 245-261 [CH] R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. II, Interscience, New York, 1962 [Co] P. Collin, Deux exemples de graphes de courbure moyenne constante sur une bande de R2, C.R. Acad. Sci. Paris S′er. I, 311 (1990), 539-542 [ER] R. Earp and H. Rosenberg, The Dirichlet problem for the minimal surface equation on unbounded planar domains, J. Math. Pures Appl., 68 (1989), 163-183 [Ee] J. Eells, The surfaces of Delaunay, The Mathem. Intell., 9 (1987), 53-57 [Fi1] R. Finn, Remarks relevant to minimal surfaces and to surfaces of prescribed mean curvature, J. d’Anal. Math., 14 (1965), 139-160, [Fi2] A limiting geometry for capillary surfaces, Ann. Scuola Norm. Sup. Pisa, 11 (1984), 361-379 [Fi3] The Gauss curvature of an H-graph, Nachr. Akad. Wiss. G‥ottingen Math-Phys. Kl., II(2) (1987), 5-14 [Fi4] Comparison principles in capillarity, in ”Partial Differential Equations and Calculus of Variations” , Lectures Notes in Mathematics, 1357, 156-197, Springer-Verlag, Berlin-New York, 1988, [Fi5] Moon surfaces, and boundary behaviour of capillary surfaces for perfect wetting and nonwetting, Proc. London Math. Soc., 57 (1988), 542-576, [GT] D. Gilbarg and N.S. Tridinger, Elliptic Partial Differential Equation of Second Order. Spring-Verlag, Berlin-New York, 1983 [JS] H. Jenkins and J. Serrin, Variational problems of minimal surface type, II. Boundaryvalue problems for the minimal surface equation, Arch. Rat. Mech. Anal., 12 (1963), 185-212 [Ka] N. Kapouleas, Complete constant mean curvature surfaces in Euclidean threespace, Ann. Math., 131 (1990), 239-330 [LM1] R.L′opez and S.Montiel, Constant mean curvature discs with bounded area. Proc. Amer. Math. Soc. 123(1995), 1555-1558 [LM2] R.L′opez and S.Montiel, Constant mean curvature with planar boundary, Duke Math. J. 85(1996), 583-604 [Lo1] R.L′opez, Constant mean curvature surface with Euclidean three-space. Tsukuba J. Math 23(1999), 27-36 [Lo2] R.L′opez, Constant mean curvature graphs on unbounded convex domains, J. Diff. 171(2001), 54-62 [Lo3] R.L′opez, An existence theroem of constant mean curvature graphs in Euclidean space, Glasgow Math. J. 44(2002), 455-461 [Lo4] R.L′opez, Constant mean curvature graphs in a strip of R2, Pac. J. Math. 206(2002), 359-373 [Mo] S. Montiel, A height estimate for H-surfaces and existence of H-graphs, Amer. J. Math., 123(3)(2001), 505-514 [Ni] J.C.C. Nitsche, On new results in the theory of minimal surfaces, Bull. Amer. Math. Soc., 71 (1965), 195-270 [PP] L.E. Payne and G.A. Philippin, Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature, Nonlinear Analysis, Th. Meth. App., 3 (1979), 193-211 [Se1] J.Serrin, On surfaces of constant mean curvvature which span a given space curve, Math.Z 112(1969), 77-88 [Se2] J. Serrin, The problem of Dirichlet for quasilinear elliptic equations with many independent variables, Philos. Trans. Roy. Soc. London Ser. A, 264 (1969), 413-496 [Wa] A.N. Wang, Constant mean curvature surfaces on a strip, Pacific J. Math., 145(1990), 395-396 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30236 | - |
| dc.description.abstract | 我們考慮常均曲率曲面在邊界值為0 的Dirichlet 問題, 對存在平滑解的情形下, 使用 nodoid 去限制及估計解的存在. | zh_TW |
| dc.description.abstract | We consider the Dirichlet problem for the constant mean curvature surface equation on domains with boundary data zero. We give sufficient conditions for the existence of smooth solutions provided that the boundary satisfies a certain exterior circle condition. A feature of the work is the use of pieces of nodoids as barriers to make C0 and C1 a priori estimates respectively. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T01:45:32Z (GMT). No. of bitstreams: 1 ntu-96-R94221037-1.pdf: 421233 bytes, checksum: c82bb22e8230a281113bbe8a63ad8ae3 (MD5) Previous issue date: 2007 | en |
| dc.description.tableofcontents | 1 Introduction ----------------------------------1
2 The 1-parameter family of nodoids -------------2 3 State result and proof ------------------------9 4 An existence theorem for bounded domains -----14 Appendices -------------------------------------18 References -------------------------------------22 | |
| dc.language.iso | en | |
| dc.title | 常均曲率曲面的一些存在性定理 | zh_TW |
| dc.title | Some existence theorems of CMC surfaces | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 95-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳金次,梁惠禎 | |
| dc.subject.keyword | 常均曲率, | zh_TW |
| dc.subject.keyword | CMC,nodoid, | en |
| dc.relation.page | 23 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2007-07-11 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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