On A Variational Problem Involving Curvatures Of Immersed Surfaces
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On A Variational Problem Involving Curvatures Of Immersed Surfaces
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Author : Joel Langer
language : en
Publisher:
Release Date : 1980
On A Variational Problem Involving Curvatures Of Immersed Surfaces written by Joel Langer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Calculus of variations categories.
Constant Mean Curvature Immersions Of Enneper Type
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Author : Henry C. Wente
language : en
Publisher: American Mathematical Soc.
Release Date : 1992-11-30
Constant Mean Curvature Immersions Of Enneper Type written by Henry C. Wente and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-30 with Mathematics categories.
This work is devoted to the case of constant mean curvature surfaces immersed in $R^3$ (or, more generally, in spaces of constant curvature). Wente reduces this geometrical problem to finding certain integrable solutions to the Gauss equation. Many new and interesting examples are presented, including immersed cylinders in $R^3$ with embedded Delaunay ends and $n$-lobes in the middle, and one-parameter families of immersed cmc tori in $R^3$. Finally, Wente examines minimal surfaces in hyperbolic three-space, which is in some ways the most complicated case.
Boundary Value Problems For Variational Integrals Involving Surface Curvatures
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Author : University of Minnesota. Institute for Mathematics and Its Applications
language : en
Publisher:
Release Date : 1991
Boundary Value Problems For Variational Integrals Involving Surface Curvatures written by University of Minnesota. Institute for Mathematics and Its Applications and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Inequalities And Applications 2010
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Author : Catherine Bandle
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-05-26
Inequalities And Applications 2010 written by Catherine Bandle and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-26 with Mathematics categories.
Inequalities arise as an essential component in various mathematical areas. Besides forming a highly important collection of tools, e.g. for proving analytic or stochastic theorems or for deriving error estimates in numerical mathematics, they constitute a challenging research field of their own. Inequalities also appear directly in mathematical models for applications in science, engineering, and economics. This edited volume covers divers aspects of this fascinating field. It addresses classical inequalities related to means or to convexity as well as inequalities arising in the field of ordinary and partial differential equations, like Sobolev or Hardy-type inequalities, and inequalities occurring in geometrical contexts. Within the last five decades, the late Wolfgang Walter has made great contributions to the field of inequalities. His book on differential and integral inequalities was a real breakthrough in the 1970’s and has generated a vast variety of further research in this field. He also organized six of the seven “General Inequalities” Conferences held at Oberwolfach between 1976 and 1995, and co-edited their proceedings. He participated as an honorary member of the Scientific Committee in the “General Inequalities 8” conference in Hungary. As a recognition of his great achievements, this volume is dedicated to Wolfgang Walter’s memory. The “General Inequalities” meetings found their continuation in the “Conferences on Inequalities and Applications” which, so far, have been held twice in Hungary. This volume contains selected contributions of participants of the second conference which took place in Hajdúszoboszló in September 2010, as well as additional articles written upon invitation. These contributions reflect many theoretical and practical aspects in the field of inequalities, and will be useful for researchers and lecturers, as well as for students who want to familiarize themselves with the area.
American Doctoral Dissertations
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Author :
language : en
Publisher:
Release Date : 1979
American Doctoral Dissertations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Dissertation abstracts categories.
Notices Of The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1980
Notices Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Electronic journals categories.
Comprehensive Dissertation Index
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Author :
language : en
Publisher:
Release Date : 1984
Comprehensive Dissertation Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Dissertations, Academic categories.
Comprehensive Dissertation Index Mathematics Statistics Physics A E
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Author :
language : en
Publisher:
Release Date : 1984
Comprehensive Dissertation Index Mathematics Statistics Physics A E written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Dissertations, Academic categories.
Elliptic Regularization And Partial Regularity For Motion By Mean Curvature
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Author : Tom Ilmanen
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Elliptic Regularization And Partial Regularity For Motion By Mean Curvature written by Tom Ilmanen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
We study Brakke's motion of varifolds by mean curvature in the special case that the initial surface is an integral cycle, giving a new existence proof by mean of elliptic regularization. Under a uniqueness hypothesis, we obtain a weakly continuous family of currents solving Brakke's motion. These currents remain within the corresponding level-set motion by mean curvature, as defined by Evans-Spruck and Chen-Giga-Goto. Now let [italic capital]T0 be the reduced boundary of a bounded set of finite perimeter in [italic capital]R[superscript italic]n. If the level-set motion of the support of [italic capital]T0 does not develop positive Lebesgue measure, then there corresponds a unique integral [italic]n-current [italic capital]T, [partial derivative/boundary/degree of a polynomial symbol][italic capital]T = [italic capital]T0, whose time-slices form a unit density Brakke motion. Using Brakke's regularity theorem, spt [italic capital]T is smooth [script capital]H[superscript italic]n-almost everywhere. In consequence, almost every level-set of the level-set flow is smooth [script capital]H[superscript italic]n-almost everywhere in space-time.
Differential Geometry In The Large
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Author : Heinz Hopf
language : en
Publisher: Springer
Release Date : 2003-07-01
Differential Geometry In The Large written by Heinz Hopf and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Mathematics categories.
These notes consist of two parts: Selected in York 1) Geometry, New 1946, Topics University Notes Peter Lax. by Differential in the 2) Lectures on Stanford Geometry Large, 1956, Notes J.W. University by Gray. are here with no essential They reproduced change. Heinz was a mathematician who mathema- Hopf recognized important tical ideas and new mathematical cases. In the phenomena through special the central idea the of a or difficulty problem simplest background is becomes clear. in this fashion a crystal Doing geometry usually lead serious allows this to to - joy. Hopf's great insight approach for most of the in these notes have become the st- thematics, topics I will to mention a of further try ting-points important developments. few. It is clear from these notes that laid the on Hopf emphasis po- differential Most of the results in smooth differ- hedral geometry. whose is both t1al have understanding geometry polyhedral counterparts, works I wish to mention and recent important challenging. Among those of Robert on which is much in the Connelly rigidity, very spirit R. and in - of these notes (cf. Connelly, Conjectures questions open International of Mathematicians, H- of gidity, Proceedings Congress sinki vol. 1, 407-414) 1978, .