**Translations of Mathematical Monographs**

1991;
251 pp;
Softcover

MSC: Primary 35;
**Print ISBN: 978-0-8218-4685-8
Product Code: MMONO/95.S**

List Price: $89.00

Individual Member Price: $71.20

# Nonlinear Partial Differential Equations of Second Order

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*Guang Chang Dong*

This book addresses a class of equations central to many areas of
mathematics and its applications. Although there is no routine way of solving
nonlinear partial differential equations, effective approaches that apply to a
wide variety of problems are available. This book addresses a general approach
that consists of the following: Choose an appropriate function space, define a
family of mappings, prove this family has a fixed point, and study various
properties of the solution. The author emphasizes the derivation of various
estimates, including *a priori* estimates. By focusing on a particular
approach that has proven useful in solving a broad range of equations, this
book makes a useful contribution to the literature.

#### Table of Contents

# Table of Contents

## Nonlinear Partial Differential Equations of Second Order

#### Reviews

Serves as a good introduction for postgraduate students … For advanced researchers, it is also a good reference to many useful results and to various kinds of techniques.

-- Bulletin of the London Mathematical Society

Clearly written, its global quality is good.

-- Zentralblatt MATH