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变分方法及应用
变分方法及应用

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数理化

  • 电子书积分:9 积分如何计算积分?
  • 作 者:贺小明著
  • 出 版 社:北京:中央民族大学出版社
  • 出版年份:2010
  • ISBN:9787811088746
  • 页数:179 页
图书介绍:
上一篇:图解式简易之电学下一篇:数值分析
《变分方法及应用》目录
标签:方法 应用

Chapter 1 Preliminaries 1

1.1 Sobolev Spaces 1

1.2 Differential Functionals 6

1.3 The(PS)Conditions 12

1.4 Weak Solutions 13

1.5 Concentration-Compactness Principle 17

Chapter 2 Superlinear Variational Problems 25

2.1 Generalized Kadomtsev-Petviashvili Equations 25

2.2 Quasilinear Elliptic Equations with Nonlinear Boundary Conditions 33

2.3 A Superlinear Boundary Value Problem 46

2.4 Elliptic Systems with Nonlinear Boundary Conditions 58

Chapter 3 Singular Brezis-Nirenberg Problems 77

3.1 Multiple Solutions of Brezis-Nirenberg Problems 77

3.2 Quasilinear Brezis-Nirenberg Type Problems 85

Chapter 4 On Kirehhoff-Type Problems 101

4.1 Kirchhoff-Type Equations with Parameters 101

4.2 Multiple Solutions of Kirchhoff-Type Problems 111

Chapter 5 Noncompact Variational Problems 121

5.1 Critical Elliptic Equations in RN 121

5.2 Sublinear Critical Elliptic Problems 136

5.3 Critical Semilinear Elliptic Equations 147

Bibliography 167

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