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 editions preserve the original texts of
these important books while presenting them in durable paperback
and hardcover 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.
General
| Imprint: |
Princeton University Press
|
| Country of origin: |
United States |
| Series: |
Princeton Legacy Library |
| Release date: |
April 2016 |
| First published: |
1989 |
| Authors: |
Michael Struwe
|
| Dimensions: |
229 x 152 x 11mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
160 |
| ISBN-13: |
978-0-691-63627-6 |
| Categories: |
Books
Promotions
|
| LSN: |
0-691-63627-3 |
| Barcode: |
9780691636276 |
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