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Singularly Perturbed Methods for Nonlinear Elliptic Problems

Engelsk Hardback

Singularly Perturbed Methods for Nonlinear Elliptic Problems

Engelsk Hardback

637 kr
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Om denne bog
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.
Product detaljer
Sprog:
Engelsk
Sider:
262
ISBN-13:
9781108836838
Indbinding:
Hardback
Udgave:
ISBN-10:
1108836836
Udg. Dato:
18 feb 2021
Længde:
23mm
Bredde:
233mm
Højde:
159mm
Forlag:
Cambridge University Press
Oplagsdato:
18 feb 2021
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