Singularly perturbed methods for nonlinear elliptic problems / Daomin Cao, Shuangjie Peng, Shusen Yan.
This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly i...
Saved in:
| Online Access: |
Full Text (via Cambridge) |
|---|---|
| Main Authors: | , , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2021.
|
| Series: | Cambridge studies in advanced mathematics ;
191. |
| Subjects: |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | in00000067074 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 210210s2021 enk ob 001 0 eng d | ||
| 005 | 20230831181745.8 | ||
| 035 | |a (OCoLC)ceba1237132127 | ||
| 037 | |a ceba9781108872638 | ||
| 040 | |a CAMBR |b eng |e rda |e pn |c CAMBR |d OCLCO |d SFB |d OCLCO |d OCLCF |d K6U |d EBLCP |d YDX |d UKAHL |d OCLCQ |d OCLCO |d OCLCQ | ||
| 019 | |a 1251949002 |a 1268237638 | ||
| 020 | |a 9781108872638 |q (electronic bk.) | ||
| 020 | |a 1108872638 |q (electronic bk.) | ||
| 020 | |z 9781108836838 |q (hardback) | ||
| 020 | |z 1108836836 | ||
| 029 | 1 | |a AU@ |b 000068698599 | |
| 035 | |a (OCoLC)1237132127 |z (OCoLC)1251949002 |z (OCoLC)1268237638 | ||
| 050 | 4 | |a QA377 |b .C29 2021 | |
| 049 | |a GWRE | ||
| 100 | 1 | |a Cao, Daomin, |d 1963- |e author. | |
| 245 | 1 | 0 | |a Singularly perturbed methods for nonlinear elliptic problems / |c Daomin Cao, Shuangjie Peng, Shusen Yan. |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2021. | |
| 264 | 4 | |c ©2021 | |
| 300 | |a 1 online resource (ix, 252 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics ; |v 191 | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly investigating two relatively simple but typical non-compact elliptic problems. Each chapter then progresses to other related problems to help the reader learn more about the general theories developed from singularly perturbed methods. Designed for PhD students and junior mathematicians intending to do their research in the area of elliptic differential equations, the text covers three main topics. The first is the compactness of the minimization sequences, or the Palais-Smale sequences, or a sequence of approximate solutions; the second is the construction of peak or bubbling solutions by using the Lyapunov-Schmidt reduction method; and the third is the local uniqueness of these solutions. | ||
| 588 | 0 | |a Online resource; title from digital title page (viewed on February 25, 2021). | |
| 650 | 0 | |a Differential equations, Elliptic. | |
| 650 | 0 | |a Differential equations, Nonlinear. | |
| 650 | 7 | |a Differential equations, Elliptic. |2 fast |0 (OCoLC)fst00893458 | |
| 650 | 7 | |a Differential equations, Nonlinear. |2 fast |0 (OCoLC)fst00893474 | |
| 700 | 1 | |a Peng, Shuangjie, |d 1968- |e author. | |
| 700 | 1 | |a Yan, Shusen, |d 1963- |e author. | |
| 776 | 0 | 8 | |i Print version: |z 9781108836838 |
| 830 | 0 | |a Cambridge studies in advanced mathematics ; |v 191. | |
| 856 | 4 | 0 | |u https://colorado.idm.oclc.org/login?url=https://doi.org/10.1017/9781108872638 |z Full Text (via Cambridge) |
| 915 | |a - | ||
| 956 | |a Cambridge EBA | ||
| 956 | |b Cambridge EBA ebooks Complete Collection | ||
| 998 | |b New collection CUP.ebaebookscomplete | ||
| 994 | |a 92 |b COD | ||
| 999 | f | f | |s 66b33829-aaab-47be-8662-5c6a029d8cf8 |i e86fdf5d-8793-48ad-a065-ec804d0a4747 |
| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Online |c Online |d Online |h Library of Congress classification |i web |