Second Order Elliptic Equations and Elliptic Systems

Front Cover
American Mathematical Soc., 1998 - Mathematics - 246 pages
There are two parts to the book. In the first part, a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations is presented. In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. The volume is also useful as a reference source for undergraduate mathematics majors, graduate students, professors, and scientists.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

L2 Theory
3
Schauder Theory
17
Lp Theory
37
De GiorgiNashMoser Estimates
53
Quasilinear Equations of Divergence Form
67
KrylovSafonov Estimates
79
Fully Nonlinear Elliptic Equations
99
20
111
Further regularity and counterexamples
178
27
180
The reverse Hélder inequality and Lp estimates for
198
33
201
assess
204
Sobolev Spaces
209
Sards Theorem
215
Proof of the Reverse Hfiilder Inequality
225

L2 Theory for Linear Elliptic Systems of Divergence Form
131
Schauder Theory for Linear Elliptic Systems of Divergence Form
137
Chapter 11
163
Chapter 12
169
Bibliographic Notes
233
Bibliography
239
37
245
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information