Cargando…
Plateau's problem and the calculus of variations /
This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of prescribed constant mean curvature ("H-surfaces") and its analytical framework. A comprehensive overview of the classical existence and regul...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, New Jersey :
Princeton University Press,
1988.
|
| Colección: | Mathematical notes (Princeton University Press) ;
35. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | JSTOR_ocn889253255 | ||
| 003 | OCoLC | ||
| 005 | 20231005004200.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 880524t19881989njua ob 000 0 eng d | ||
| 010 | |a 88017963 | ||
| 040 | |a E7B |b eng |e rda |e pn |c E7B |d OCLCO |d JSTOR |d OCLCF |d OCLCQ |d DEBSZ |d N$T |d EBLCP |d OCLCQ |d COO |d UIU |d OCLCQ |d IOG |d MERUC |d EZ9 |d STF |d TXC |d OCLCQ |d LVT |d DKC |d OCLCQ |d UX1 |d EUN |d OCLCO |d OCLCQ |d INARC |d OCLCO | ||
| 019 | |a 945137876 |a 945865024 |a 992919752 |a 1037921040 |a 1175622447 |a 1359400971 | ||
| 020 | |a 9781400860210 |q (electronic bk.) | ||
| 020 | |a 1400860210 |q (electronic bk.) | ||
| 020 | |z 0691085102 | ||
| 020 | |z 9780691607757 | ||
| 020 | |a 9780691085104 | ||
| 020 | |a 0691085102 | ||
| 029 | 1 | |a AU@ |b 000062468433 | |
| 029 | 1 | |a DEBBG |b BV043014272 | |
| 029 | 1 | |a DEBBG |b BV043623195 | |
| 029 | 1 | |a DEBSZ |b 447060627 | |
| 029 | 1 | |a GBVCP |b 1003784879 | |
| 029 | 1 | |a GBVCP |b 834642174 | |
| 029 | 1 | |a AU@ |b 000067038836 | |
| 035 | |a (OCoLC)889253255 |z (OCoLC)945137876 |z (OCoLC)945865024 |z (OCoLC)992919752 |z (OCoLC)1037921040 |z (OCoLC)1175622447 |z (OCoLC)1359400971 | ||
| 037 | |a 22573/ctt739p62 |b JSTOR | ||
| 050 | 4 | |a QA644 |b .S77 1988eb | |
| 072 | 7 | |a MAT012030 |2 bisacsh | |
| 072 | 7 | |a MAT |x 012000 |2 bisacsh | |
| 082 | 0 | 4 | |a 516.3/62 |2 19 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Struwe, Michael, |d 1955- |e author. | |
| 245 | 1 | 0 | |a Plateau's problem and the calculus of variations / |c by Michael Struwe. |
| 264 | 1 | |a Princeton, New Jersey : |b Princeton University Press, |c 1988. | |
| 264 | 4 | |c ©1989 | |
| 300 | |a 1 online resource (x, 148 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 490 | 1 | |a Mathematical notes ; |v 35 | |
| 490 | 0 | |a Princeton legacy library | |
| 504 | |a Includes bibliographical references (pages 141-148). | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a A. The "classical" plateau problem for disctype minimal surfaces: Existence of a solution -- Unstable minimal surfaces -- B. Surfaces of prescribed constant mean curvature: The existence of surfaces of prescribed constant mean curvature spanning a Jordan curve in IR3 -- Unstable H-surfaces. | |
| 520 | |a This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of prescribed constant mean curvature ("H-surfaces") and its analytical framework. A comprehensive overview of the classical existence and regularity theory for disc-type minimal and H-surfaces is given and recent advances toward general structure theorems concerning the existence of multiple solutions are explored in full detail.The book focuses on the author's derivation of the Morse-inequalities and in particular the mountain-pass-lemma of Morse-Tompkins and Shiffman for minimal surfaces and the proof of the existence of large (unstable) H-surfaces (Rellich's conjecture) due to Brezis-Coron, Steffen, and the author. Many related results are covered as well. More than the geometric aspects of Plateau's problem (which have been exhaustively covered elsewhere), the author stresses the analytic side. The emphasis lies on the variational method.Originally published in 1989.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 650 | 0 | |a Minimal surfaces. | |
| 650 | 0 | |a Plateau's problem. | |
| 650 | 0 | |a Global analysis (Mathematics) | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 6 | |a Surfaces minimales. | |
| 650 | 6 | |a Problème de Plateau. | |
| 650 | 6 | |a Analyse globale (Mathématiques) | |
| 650 | 6 | |a Calcul des variations. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Differential. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Calculus of variations |2 fast | |
| 650 | 7 | |a Global analysis (Mathematics) |2 fast | |
| 650 | 7 | |a Minimal surfaces |2 fast | |
| 650 | 7 | |a Plateau's problem |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Struwe, Michael. |t Plateau's problem and the calculus of variations. |d Princeton, New Jersey : Princeton University Press, 1988 |h x, 148 pages ; 24 cm |k Mathematical notes ; 35 |z 9780691607757 |w (DLC) 10900100 |
| 830 | 0 | |a Mathematical notes (Princeton University Press) ; |v 35. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt7zv371 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL3030948 | ||
| 938 | |a ebrary |b EBRY |n ebr10900100 | ||
| 938 | |a EBSCOhost |b EBSC |n 791244 | ||
| 938 | |a Internet Archive |b INAR |n plateausproblemc0000stru | ||
| 994 | |a 92 |b IZTAP | ||