完全非线性椭圆方程（影印版）
￥67.00定价
作者： Luis Caffarelli，Xavier Cabre
出版时间：2018-08-24
出版社：高等教育出版社
- 高等教育出版社
- 9787040503067
- 1版
- 227556
- 46253905-7
- 精装
- 16开
- 2018-08-24
- 180
- 104
- 理学
- 数学
- O175.25
- 数学类
- 研究生及以上
目录
Introduction
eliminaries
sic Notation and Terminology
ngent Paraboloids and Second Order Differentiability
scosity Solutions of Elliptic Equations
scosity Solutions
e Class S of Solutions of Uniformly Elliptic Equations
amples of Fully Nonlinear Elliptic Equations
Notes
exandroff Estimate and Maximum Principle
exandroff-Bakelman-Pucci Estimate
Notes
rnack Inequality
o Important Tools
rnack Inequalitv
4.3.CαRegularity
iqueness of Solutions
nsen's Approximate Solutions
iqueness for F(D2u)=0
5.3.C1，αRegularity for F(D2u)=0
plications to Concave Equations
Notes
ncave Equations
ans-Krylov Theorem
6.2.C2，αRegularity for F(D2u)=0
7.W2，pRegularity
7.1.W2，p Estimates
8.H61der Regularity
8.1.C2，α Estimates
，αEstimates
e Dirichlet Problem for Concave Equations
rnstein's Technique
9.2.C2，α Estimate up to the Boundary for F(D2u)=0
e Dirichlet Problem
Bibliography
Index
eliminaries
sic Notation and Terminology
ngent Paraboloids and Second Order Differentiability
scosity Solutions of Elliptic Equations
scosity Solutions
e Class S of Solutions of Uniformly Elliptic Equations
amples of Fully Nonlinear Elliptic Equations
Notes
exandroff Estimate and Maximum Principle
exandroff-Bakelman-Pucci Estimate
Notes
rnack Inequality
o Important Tools
rnack Inequalitv
4.3.CαRegularity
iqueness of Solutions
nsen's Approximate Solutions
iqueness for F(D2u)=0
5.3.C1，αRegularity for F(D2u)=0
plications to Concave Equations
Notes
ncave Equations
ans-Krylov Theorem
6.2.C2，αRegularity for F(D2u)=0
7.W2，pRegularity
7.1.W2，p Estimates
8.H61der Regularity
8.1.C2，α Estimates
，αEstimates
e Dirichlet Problem for Concave Equations
rnstein's Technique
9.2.C2，α Estimate up to the Boundary for F(D2u)=0
e Dirichlet Problem
Bibliography
Index
