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Second Order Elliptic Equations and Elliptic Systems
About this Title
Ya-Zhe Chen and Lan-Cheng Wu, Peking University, Peking, People’s Republic of China
Publication: Translations of Mathematical Monographs
Publication Year:
1998; Volume 174
ISBNs: 978-0-8218-1924-1 (print); 978-1-4704-4589-8 (online)
DOI: https://doi.org/10.1090/mmono/174
MathSciNet review: MR1616087
MSC: Primary 35Jxx; Secondary 35-01
Table of Contents
Front/Back Matter
Second Order Elliptic Equations
- $L^2$ theory
- Schauder theory
- $L^p$ theory
- De Giorgi-Nash-Moser estimates
- Quasilinear equations of divergence form
- Krylov-Safonov estimates
- Fully nonlinear elliptic equations
Second Order Elliptic Systems
- $L^2$ theory for linear elliptic systems of divergence form
- Schauder theory for linear elliptic systems of divergence form
- $L^p$ theory for linear elliptic systems of divergence form
- Existence of weak solutions of nonlinear elliptic systems
- Regularity for weak solutions of nonlinear elliptic systems
- Sobolev spaces
- Sard’s theorem
- Proof of the John-Nirenberg theorem
- Proof of the Stampacchia interpolation theorem
- Proof of the reverse Hölder inequality