**Courant Lecture Notes**

Volume: 1;
2011;
147 pp;
Softcover

MSC: Primary 35;
**Print ISBN: 978-0-8218-5313-9
Product Code: CLN/1.R**

List Price: $33.00

Individual Member Price: $26.40

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# Elliptic Partial Differential Equations: Second Edition

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*Qing Han; Fanghua Lin*

A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University

*by Qing Han and FangHua Lin is one of the best
textbooks I know. It is the perfect introduction to PDE. In 150 pages
or so it covers an amazing amount of wonderful and extraordinary
useful material. I have used it as a textbook at both graduate and
undergraduate levels which is possible since it only requires very
little background material yet it covers an enormous amount of
material. In my opinion it is a must read for all interested in
analysis and geometry, and for all of my own PhD students it is indeed
just that. I cannot say enough good things about it—it is a
wonderful book.*

—

This volume is based on PDE courses given by the authors at the Courant Institute and at the University of Notre Dame, Indiana. Presented are basic methods for obtaining various a priori estimates for second-order equations of elliptic type with particular emphasis on maximal principles, Harnack inequalities, and their applications. The equations considered in the book are linear; however, the presented methods also apply to nonlinear problems.

This second edition has been thoroughly revised and in a new chapter the authors discuss several methods for proving the existence of solutions of primarily the Dirichlet problem for various types of elliptic equations.

Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

#### Table of Contents

# Table of Contents

## Elliptic Partial Differential Equations: Second Edition

#### Readership

Graduate students and research mathematicians interested in elliptic PDEs.