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Pages: 158
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Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory sur
Some Nonlinear Problems in Riemannian Geometry
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Authors: Thierry Aubin
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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This book deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of con
Variational Problems in Differential Geometry
Language: en
Pages: 217
Authors: Roger Bielawski
Categories: Mathematics
Type: BOOK - Published: 2011-10-20 - Publisher: Cambridge University Press

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The field of geometric variational problems is fast-moving and influential. These problems interact with many other areas of mathematics and have strong relevan
Riemannian Geometry in an Orthogonal Frame
Language: en
Pages: 284
Authors: Elie Cartan
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: World Scientific

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Elie Cartan's book Geometry of Riemannian Manifolds (1928) was one of the best introductions to his methods. It was based on lectures given by the author at the
Branching Solutions to One-dimensional Variational Problems
Language: en
Pages: 365
Authors: Alexander O. Ivanov
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: World Scientific

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This book deals with the new class of one-dimensional variational problems OCo the problems with branching solutions. Instead of extreme curves (mappings of a s