Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
>
Search Results
>
Catalogue Card Display
>
Browse Shelf
Catalogue Display
Catalogue Display
Previous Title
.
Theorems on Regularity and Singularity of Energy Minimizing Maps
.
Bookmark this Record
Catalogue Record 47240
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 47240
.
Reviews
Catalogue Record 47240
.
British Library
Resolver for RSN-47240
Google Scholar
Resolver for RSN-47240
WorldCat
Resolver for RSN-47240
Catalogo Nazionale SBN
Resolver for RSN-47240
GoogleBooks
Resolver for RSN-47240
ICTP Library
Resolver for RSN-47240
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
514.74
Title
Theorems on Regularity and Singularity
of
Energy Minimizing Maps ([EBook]) / by Leon Simon.
Author
Simon, Leon
Other name(s)
SpringerLink (Online service)
Publication
Basel : Birkhäuser , 1996.
Physical Details
VIII, 152 pages, 6 illus. : online resource.
Series
Lectures in Mathematics ETH Zürich, Department
of
Mathematics Research Institute
of
Mathematics
ISBN
9783034891936
Summary Note
The aim
of
these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments concerning the structure
of
the singular set and asymptotics on approach to the singular set. Specialized knowledge in partial differential equations or the geometric calculus
of
variations is not required; a good general background in mathematical analysis would be adequate preparation.:
Contents note
1 Analytic Preliminaries -- 1.1 Hölder Continuity -- 1.2 Smoothing -- 1.3 Functions with L2 Gradient -- 1.4 Harmonic Functions -- 1.5 Weakly Harmonic Functions -- 1.6 Harmonic Approximation Lemma -- 1.7 Elliptic regularity -- 1.8 A Technical Regularity Lemma -- 2 Regularity Theory for Harmonic Maps -- 2.1 Definition
of
Energy Minimizing Maps -- 2.2 The Variational Equations -- 2.3 The ?-Regularity Theorem -- 2.4 The Monotonicity Formula -- 2.5 The Density Function -- 2.6 A Lemma
of
Luckhaus -- 2.7 Corollaries
of
Luckhaus’ Lemma -- 2.8 Proof
of
the Reverse Poincaré Inequality -- 2.9 The Compactness Theorem -- 2.10 Corollaries
of
the ?-Regularity Theorem -- 2.11 Remark on Upper Semicontinuity
of
the Density ?u(y) -- 2.12 Appendix to Chapter 2 -- 3 Approximation Properties
of
the Singular Set -- 3.1 Definition
of
Tangent Map -- 3.2 Properties
of
Tangent Maps -- 3.3 Properties
of
Homogeneous Degree Zero Minimizers -- 3.4 Further Properties
of
sing u -- 3.5 Definition
of
Top-dimensional Part
of
the Singular Set -- 3.6 Homogeneous Degree Zero ? with dim S(?) = n — 3 -- 3.7 The Geometric Picture Near Points
of
sing*u -- 3.8 Consequences
of
Uniqueness
of
Tangent Maps -- 3.9 Approximation properties
of
subsets
of
?n -- 3.10 Uniqueness
of
Tangent maps with isolated singularities -- 3.11 Functionals on vector bundles -- 3.12 The Liapunov-Schmidt Reduction -- 3.13 The ?ojasiewicz Inequality for ? -- 3.14 ?ojasiewicz for the Energy functional on Sn-1 -- 3.15 Proof
of
Theorem 1
of
Section 3.10 -- 3.16 Appendix to Chapter 3 -- 4 Rectifiability
of
the Singular Set -- 4.1 Statement
of
Main Theorems -- 4.2 A general rectifiability lemma -- 4.3 Gap Measures on Subsets
of
?n -- 4.4 Energy Estimates -- 4.5 L2 estimates -- 4.6 The deviation function ? -- 4.7 Proof
of
Theorems 1, 2
of
Section 4.1 -- 4.8 The case when ? has arbitrary Riemannian metric.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-0348-9193-6
Links to Related Works
Subject References:
Differential Geometry
.
Global Analysis and Analysis on Manifolds
.
Global analysis (Mathematics)
.
Manifolds (Mathematics)
.
Mathematics
.
Authors:
Simon, Leon
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Lectures in Mathematics ETH Zürich, Department
of
Mathematics Research Institute
of
Mathematics
.
Classification:
514.74
.
.
ISBD Display
Catalogue Record 47240
.
Tag Display
Catalogue Record 47240
.
Related Works
Catalogue Record 47240
.
Marc XML
Catalogue Record 47240
.
Add Title to Basket
Catalogue Record 47240
.
Catalogue Information 47240
Beginning of record
.
Catalogue Information 47240
Top of page
.
Download Title
Catalogue Record 47240
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
47240
1
47240
-
2
47240
-
3
47240
-
4
47240
-
5
47240
-
Quick Search
Search for