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.
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Mathematical Notes 35. Brossura Editoriale Di Pp. X-148, In Ottimo Stato. Spedizione In 24 Ore Dalla Conferma Dell'Ordine.
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 49 STR 9780691085104 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2499810
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Da: MW Books, New York, NY, U.S.A.
1st edition. Fine paperback copy. Particularly well-preserved; tight, bright and clean. Physical description; x, 148 pp., illustrations. Notes; Mathematical notes series, 35. Includes bibliographical references (pp. 141-148). Contents; 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. Subjects; Minimal surfaces. Plateau's problem. Global analysis (Mathematics). Calculus of variations. 1 Kg. Codice articolo 385194
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Da: MW Books, New York, NY, U.S.A.
1st edition. Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; 148 pp., illustrations. Notes; Includes bibliographical references (pages 141-148). Contents; 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. Subjects; Minimal surfaces. Plateau's problem. Global analysis (Mathematics). Calculus of variations. Surfaces minimales. Mathematics. 1 Kg. Codice articolo 386041
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Da: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, U.S.A.
Condizione: Good. Princeton University Press, 1989. This Book is in Good Condition. Cover different from stock image. Normal wear to covers and edges, text is clean with no marks, binding tight. Not Ex-Library or Remaindered. 100% Guaranteed. paperback. Good. Codice articolo 623770
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Da: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, U.S.A.
Condizione: Good. Princeton University Press, 1989. This Book is in Good Condition. Normal wear to covers and edges, text is clean with no marks, binding tight. Not Ex-Library or Remaindered. 100% Guaranteed. paperback. Good. Codice articolo 623772
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Da: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, U.S.A.
Condizione: Very Good. Princeton University Press, 1989. This book is in Excellent Condition. Cover different from stock image. Minimal wear to covers and edges, text is clean with no marks, binding tight. Not ex-library. 100% guaranteed. paperback. Very Good. Codice articolo 623590
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Paperback. Condizione: Very Good. Type: Book. Codice articolo 053733
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Da: MW Books Ltd., Galway, Irlanda
1st edition. Fine paperback copy. Particularly well-preserved; tight, bright and clean. Physical description; x, 148 pp., illustrations. Notes; Mathematical notes series, 35. Includes bibliographical references (pp. 141-148). Contents; 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. Subjects; Minimal surfaces. Plateau's problem. Global analysis (Mathematics). Calculus of variations. 1 Kg. Codice articolo 385194
Quantità: 1 disponibili
Da: MW Books Ltd., Galway, Irlanda
1st edition. Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; 148 pp., illustrations. Notes; Includes bibliographical references (pages 141-148). Contents; 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. Subjects; Minimal surfaces. Plateau's problem. Global analysis (Mathematics). Calculus of variations. Surfaces minimales. Mathematics. 1 Kg. Codice articolo 386041
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Paperback. Condizione: As New. Codice articolo 151103015
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