Opis: Nonlinear Elliptic Equations of the Second Order - Qing Han

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.* Introduction* Linear elliptic equations* Quasilinear elliptic equations: Quasilinear uniformly elliptic equations* Mean curvature equations* Minimal surface equations* Fully nonlinear elliptic equations: Fully nonlinear uniformly elliptic equations* Monge-Ampere equations* Complex Monge-Ampere equations* Generalized solutions of Monge-Ampere equations* Bibliography* Index

Szczegóły: Nonlinear Elliptic Equations of the Second Order - Qing Han

Tytuł: Nonlinear Elliptic Equations of the Second Order
Autor: Qing Han
Wydawnictwo: American Mathematical Society
ISBN: 9781470426071
Rok wydania: 2016
Ilość stron: 368
Oprawa: Twarda

Recenzje: Nonlinear Elliptic Equations of the Second Order - Qing Han