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Variational problems with concentration

Author: Martin Flucher
Publisher: Basel ; Boston : Birkhauser, ©1999.
Series: Progress in nonlinear differential equations and their applications, v. 36.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"The subject of this research monograph is semilinear Dirichlet problems and similar equations involving the p-Laptacian. Solutions are constructed by a constraint variational method. The major new contribution is a detailed analysis of low-energy solutions. In PDE terms the low-energy limit corresponds to the well-known vanishing viscosity limit."--BOOK JACKET.
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Additional Physical Format: Online version:
Flucher, Martin, 1962-
Variational problems with concentration.
Basel ; Boston : Birkhauser, ©1999
(OCoLC)812165098
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Martin Flucher
ISBN: 3764361360 9783764361365 0817661360 9780817661366
OCLC Number: 41674411
Description: viii, 163 pages : illustrations ; 24 cm.
Contents: 1. Introduction --
2. P-Capacity --
3. Generalized Sobolev Inequality --
4. Concentration Compactness Alternatives --
5. Compactness Criteria --
6. Entire Extremals --
7. Concentration and Limit Shape of Low Energy Extremals --
8. Robin Functions --
9. P-Capacity of Small Sets --
10. P-Harmonic Transplantation --
11. Concentration Points, Subconformal Case --
12. Conformal Low Energy Limits --
13. Applications --
14. Bernoulli's Free-boundary Problem --
15. Vortex Motion.
Series Title: Progress in nonlinear differential equations and their applications, v. 36.
Responsibility: Martin Flucher.
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Abstract:

This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several  Read more...

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"This material is very rich, because various alternatives are possible. The book provides a good systematic overview of this difficult topic."--Zentralblatt Math

 
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