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变分法（第3版 英文版）
作者：（瑞士）斯特沃（Struwe，M.） 著
出版社：世界图书出版公司
出版时间：2006-10-01
ISBN：9787506282284
定价：¥38.00
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内容简介
《变分法（第3版）》是一部经典图书，书中分为3部分，第一部分主要阐述变分法中的经典直接法及其扩张，第二部分讨论极小极大化方法，第三部分介绍变法中的新理论。适用于数学及相关专业的研究生和研究人员。
作者简介
暂缺《变分法（第3版 英文版）》作者简介
目录
Chapter Ⅰ.The Direct Methods in the Calculus of Variations
1.Lower Semi-Continuity
2.Constraints
3.Compensated Compactness
4.The Concentration-Compactness Principle
5.Ekeland's Variational Principle
6.Duality
7.Minimization Problems Depending on Parameters
Chapter Ⅱ.Minimax Methods
1.The Finite Dimensional Case
2.The Palais-Smale Condition
3.A General Deformation Lemma
4.The Minimax Principle
5.Index Theory
6.The Mountain Pass Lemma and its Variants
7.Perturbation Theory
8.Linking
9.Parameter Dependence
10.Critical Points of Mountain Pass Type
l1 Non—Differentiable Functionals
12.Ljusternik—Schnirelman Theory on Convex Sets
Chapter Ⅲ.Limit Cases of the Palais—Smale Condition
1.Pohoaev’S Non—Existence Result
2.The Brezis—Nirenberg Result
3.The Effect of Topology
4.The Yamabe Problem
5.The Dirichlet Problem for the Equation of Constant Mean Curvature
6.Harmonic Maps of Riemannian Surfaces
Appendix A
Appendix B
Appendix C
References
Index
1.Lower Semi-Continuity
2.Constraints
3.Compensated Compactness
4.The Concentration-Compactness Principle
5.Ekeland's Variational Principle
6.Duality
7.Minimization Problems Depending on Parameters
Chapter Ⅱ.Minimax Methods
1.The Finite Dimensional Case
2.The Palais-Smale Condition
3.A General Deformation Lemma
4.The Minimax Principle
5.Index Theory
6.The Mountain Pass Lemma and its Variants
7.Perturbation Theory
8.Linking
9.Parameter Dependence
10.Critical Points of Mountain Pass Type
l1 Non—Differentiable Functionals
12.Ljusternik—Schnirelman Theory on Convex Sets
Chapter Ⅲ.Limit Cases of the Palais—Smale Condition
1.Pohoaev’S Non—Existence Result
2.The Brezis—Nirenberg Result
3.The Effect of Topology
4.The Yamabe Problem
5.The Dirichlet Problem for the Equation of Constant Mean Curvature
6.Harmonic Maps of Riemannian Surfaces
Appendix A
Appendix B
Appendix C
References
Index
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