文件名称：《变分学中的多重积分(英文)》 [（美）莫里 著] 2013年版
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变分学 多重积分 莫里 数学 2013年
变分学中的多重积分（英文版） 作者：（美）莫里 著 出版时间：2013年版 内容简介 The principal theme of this book is “the existence and differentiability of the solutions of variational problems involving multiple integrals.” We shall discuss the corresponding questions for single integrals only very briefly since these have been discussed adequately in every other book on the calculus of variations.Moreover， applications to engineering，physics，etc.，are not discussed at all；however，we do discuss mathematical applications to such subjects as the theory of harmonic integrals and the so-called “d-Neumann” problem （see Chapters 7 and 8）.Since the plan of the book is described in Section 1.2 below we shall merely make a few observations here. 目录 Chapter 1 Introduction 1.1. Introductory remarks 1.2. The plan of the book: notation 1.3. Very brief historical remarks 1.4. The EULER equations 1.5. Other classical necessary conditions 1.6. Classical sufficient conditions 1.7. The direct methods 1.8. Lower semicontinuity 1.9. Existence 1.10. The differentiabilitv theory. Introduction 1.11. Differentiability; reduction to linear equations Chapter 2 Semi-classical results 2.1. Introduction 2.2. Elementary properties of harmonic functions 2.3. WEYL'S lemma 2.4. POISSON'S integral formula; elementary functions; GREEN'S functions 2.5. Potentials 2.6. Generalized potential theory; singular integrals 2.7. The CALDERON-ZYGMUND inequalities 2.8. The maximum principle for a linear elliptic equation of the second order …… Chapter 3 The spaces Hmp and Hmpo Chapter 4 Existence theorems Chapter 5 Differentiability of weak solutions Chapter 6 Regularity theorems for the solutions of general elliptic systems and boundary value problems Chapter 7 A variational method in the theory of harmonic integrals
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变分学中的多重积分英文 [（美）莫里 著] 2013年版.pdf