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Singularly Perturbed Methods for Nonlinear Elliptic Problems
Engelsk
Bogcover for Singularly Perturbed Methods for Nonlinear Elliptic Problems af Shuangjie Peng, Daomin Cao, Shusen Yan, 9781108836838
Specifikationer
Sprog:
Engelsk
Sider:
262
ISBN-13:
9781108836838
Indbinding:
Hardback
ISBN-10:
1108836836
Udg. Dato:
18 feb 2021
Størrelse i cm:
15,9 x 23,3 x 2,3
Oplagsdato:
18 feb 2021

Singularly Perturbed Methods for Nonlinear Elliptic Problems

Engelsk
Hardback 2021
Format:

Bog beskrivelse
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.
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Specifikationer
Sprog:
Engelsk
Sider:
262
ISBN-13:
9781108836838
Indbinding:
Hardback
ISBN-10:
1108836836
Udg. Dato:
18 feb 2021
Størrelse i cm:
15,9 x 23,3 x 2,3
Oplagsdato:
18 feb 2021
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