Second Order Elliptic Equations and Elliptic Systems

✍ Scribed by Ya-Zhe Chen and Lan-Cheng Wu

• Publisher: American Mathematical Society
• Year: 1998
• Tongue: English
• Leaves: 265
• Series: Translations of Mathematical Monographs,Volume 174
• Category: Library

✦ Table of Contents

Cover
Title page
Contents
Preface to the English translation
Preface
Second Order Elliptic Equations
𝐿² 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
𝐿² 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
Bibliographic notes
Bibliography
Index
Back Cover