Almgren's big regularity paper : Q-valued functions minimizing Dirichlet's integral and the regularity of area-minimizing rectifiable currents up to codimension 2 /
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| Imprint: | Singapore ; River Edge, NJ : World Scientific, c2000. |
|---|---|
| Description: | xv, 955 p. : ill. ; 26 cm. |
| Language: | English |
| Series: | World scientific monograph series in mathematics ; vol. 1 World scientific monograph series in mathematics ; v. 1. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4318343 |
MARC
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| 245 | 0 | 0 | |a Almgren's big regularity paper : |b Q-valued functions minimizing Dirichlet's integral and the regularity of area-minimizing rectifiable currents up to codimension 2 / |c Fredrick J. Almgren, Jr. ; editors, Vladimir Scheffer & Jean E. Taylor. |
| 246 | 3 | 0 | |a Q-valued functions minimizing Dirichlet's integral and the regularity of area-minimizing rectifiable currents up to codimension 2 |
| 260 | |a Singapore ; |a River Edge, NJ : |b World Scientific, |c c2000. | ||
| 300 | |a xv, 955 p. : |b ill. ; |c 26 cm. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a unmediated |b n |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/n | ||
| 338 | |a volume |b nc |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
| 490 | 1 | |a World scientific monograph series in mathematics ; |v vol. 1 | |
| 504 | |a Includes bibliographical references (p. 953-955). | ||
| 505 | 0 | 0 | |g Ch. 1. |t Basic properties of Q and Q valued functions -- |g Ch. 2. |t Properties of Dir minimizing Q valued functions and tangent cone stratification of mass minimizing rectifiable currents -- |g Ch. 3. |t Approximation in mass of nearly flat rectifiable currents which are mass minimizing in manifolds by graphs of Lipschitz Q valued functions which can be weakly nearly Dir minimizing -- |g Ch. 4. |t Approximation in mass of a nearly flat rectifiable current which is mass minimizing in a manifold by the image of a Lipschitz Q(R[superscript m+n]) valued function defined on a center manifold -- |g Ch. 5. |t Bounds on the frequency functions and the main interior regularity theorem -- |g App. A.1. |t Functions whose distribution first derivatives are square summable, harmonic functions, spherical harmonics, and inequalities relating Dirichlet integrals and zeros of functions -- |g App. A.2. |t Convolution inequalities and interpolation estimates -- |g App. A.3. |t Estimates relating derivatives of various functions including functions with rotated graphs -- |g App. A.4. |t The nonparametric area integrand, mean curvatures, and Laplacians and further nearest point retraction estimates -- |g App. A.5. |t Some differential geometry of submanifolds of Euclidean space -- |g App. A.6. |t Varifolds and level sets and gradients of functions -- |g App. A.7. |t Some measure and derivative estimates. |
| 650 | 0 | |a Geometric measure theory. |0 http://id.loc.gov/authorities/subjects/sh85054124 | |
| 650 | 7 | |a Geometric measure theory. |2 fast |0 http://id.worldcat.org/fast/fst00940834 | |
| 700 | 1 | |a Scheffer, Vladimir. |0 http://id.loc.gov/authorities/names/n99254804 |1 http://viaf.org/viaf/165503996 | |
| 700 | 1 | |a Taylor, Jean E. |0 http://id.loc.gov/authorities/names/nr92006727 |1 http://viaf.org/viaf/49403092 | |
| 830 | 0 | |a World scientific monograph series in mathematics ; |v v. 1. | |
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| 928 | |t Library of Congress classification |a QA312 .A55 2000 |l ASR |c ASR-SciASR |i 4486067 | ||
| 927 | |t Library of Congress classification |a QA312 .A55 2000 |l ASR |c ASR-SciASR |e CRERAR |b 56343007 |i 6901994 | ||
