Nonlinear Elliptic Equations of the Second Order

Qing Han

ISBN 10: 1470426072 / ISBN 13: 9781470426071

Published by American Mathematical Society, US, 2016

About this Item

Nonlinear elliptic differential equations are a diverse subject with important applications to the physical and social sciences and engineering. They also arise naturally in geometry. In particular, much of the progress in the area in the twentieth century was driven by geometric applications, from the Bernstein problem to the existence of Kahler-Einstein metrics. This book, designed as a textbook, provides a detailed discussion of the Dirichlet problems for quasilinear and fully nonlinear elliptic differential equations of the second order with an emphasis on mean curvature equations and on Monge-Ampere equations. It gives a user-friendly introduction to the theory of nonlinear elliptic equations with special attention given to basic results and the most important techniques. Rather than presenting the topics in their full generality, the book aims at providing self-contained, clear, and ``elementary'' proofs for results in important special cases. This book will serve as a valuable resource for graduate students or anyone interested in this subject.

Seller Inventory # LU-9781470426071

Bibliographic Details

• Title: Nonlinear Elliptic Equations of the Second Order
• Publisher: American Mathematical Society, US
• Publication Date: 2016
• Language: English
• ISBN 10: 1470426072
• ISBN 13: 9781470426071
• Binding: Hardback
• Condition: New
• Weight: 814 grams

About this title

Synopsis

Nonlinear elliptic differential equations are a diverse subject with important applications to the physical and social sciences and engineering. They also arise naturally in geometry. In particular, much of the progress in the area in the twentieth century was driven by geometric applications, from the Bernstein problem to the existence of Kahler-Einstein metrics. This book, designed as a textbook, provides a detailed discussion of the Dirichlet problems for quasilinear and fully nonlinear elliptic differential equations of the second order with an emphasis on mean curvature equations and on Monge-Ampere equations. It gives a user-friendly introduction to the theory of nonlinear elliptic equations with special attention given to basic results and the most important techniques. Rather than presenting the topics in their full generality, the book aims at providing self-contained, clear, and "elementary" proofs for results in important special cases. This book will serve as a valuable resource for graduate students or anyone interested in this subject.

About the Author

Qing Han, University of Notre Dame, IN, USA.