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Nonlinear elliptic equations of the second order
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Catalogue Information
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Details
Dewey Class
515.3533
Title
Nonlinear elliptic equations of the second order (M) / Qing Han.
Author
Han, Qing, , 1964-
Publication
Providence, Rhode Island : American Mathematical Society , 2016
Physical Details
viii, 368 pages ; 26 cm.
Series
Graduate studies in mathematics
; 171
ISBN
9781470426071
Summary Note
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:
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Subject References:
Differential equations, Elliptic
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Differential equations, Nonlinear
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Authors:
Han, Qing, 1964-
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Series:
Graduate studies in mathematics
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Classification:
515.3533
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0000000044442
517.951 HAN
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