Nonlinear Elliptic Equations of the Second Order

Released on by Qing Han
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  • Nonlinear Elliptic Equations of the Second Order Book Detail

  • Author : Qing Han
  • Release Date : 2016-04-15
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 378
  • ISBN 13 : 1470426072
  • File Size : 78,78 MB
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Nonlinear Elliptic Equations of the Second Order by Qing Han PDF Summary

Book Description: 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 Kähler–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–Ampère 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.

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Fully Nonlinear Elliptic Equations

Fully Nonlinear Elliptic Equations

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The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinea