Plateau's Problem and the Calculus of Variations. (MN-35) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Plateau's Problem and the Calculus of Variations. (MN-35) write by Michael Struwe. This book was released on 2014-07-14. Plateau's Problem and the Calculus of Variations. (MN-35) available in PDF, EPUB and Kindle. 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.
On the Problem of Plateau [and] Subharmonic Functions
On the Problem of Plateau [and] Subharmonic Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Problem of Plateau [and] Subharmonic Functions write by Tibor Radó. This book was released on 1971. On the Problem of Plateau [and] Subharmonic Functions available in PDF, EPUB and Kindle.
Existence Theorems for Minimal Surfaces of Non-Zero Genus Spanning a Contour
Existence Theorems for Minimal Surfaces of Non-Zero Genus Spanning a Contour - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Existence Theorems for Minimal Surfaces of Non-Zero Genus Spanning a Contour write by Friedrich Tomi. This book was released on 1988. Existence Theorems for Minimal Surfaces of Non-Zero Genus Spanning a Contour available in PDF, EPUB and Kindle. We present a modern approach to the classical problem of Plateau based purely on differential geometric concepts. We not only reprove the classical results of Douglas but also develop a new geometric criterion on a given finite system of disjoint Jordan curves in three-dimensional Euclidean space which guarantees the existence of a minimal surface of a prescribed genus having these curves as boundary.
American Men of Science
American Men of Science - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook American Men of Science write by . This book was released on 1949. American Men of Science available in PDF, EPUB and Kindle.
Journal of Differential Geometry
Journal of Differential Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Journal of Differential Geometry write by . This book was released on 1973. Journal of Differential Geometry available in PDF, EPUB and Kindle.
