An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
- 種類:
- 電子ブック
- 責任表示:
- by Mariano Giaquinta, Luca Martinazzi
- 出版情報:
- Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2012
- 著者名:
- シリーズ名:
- Publications of the Scuola Normale Superiore ;
- ISBN:
- 9788876424434 [8876424431]
- 注記:
- This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of Mathematicians in 1900 in Paris: 19th problem: Are the solutions to regular problems in the Calculus of Variations always necessarily analytic? 20th problem: does any variational problem have a solution, provided that certain assumptions regarding the given boundary conditions are satisfied, and provided that the notion of a solution is suitably extended? During the last century these two problems have generated a great deal of work, usually referred to as regularity theory, which makes this topic quite relevant in many fields and still very active for research. However, the purpose of this volume, addressed mainly to students, is much more limited. We aim to illustrate only some of the basic ideas and techniques introduced in this context, confining ourselves to important but simple sit
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- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
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