This book focuses on the following three topics in the theory of boundary value problems of nonlinear second order elliptic partial differential equations and systems: (i) eigenvalue problem, (ii) upper and lower solutions method, (iii) topological degree method, and deals with the existence of solu
Nonlinear Elliptic Equations of the Second Order
β Scribed by Qing Han
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- English
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- 378
- Series
- Graduate Studies in Mathematics
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β¦ Table of Contents
Cover
Title page
Dedication
Contents
Preface
Introduction
Chapter 1. Linear elliptic equations
Part 1. Quasilinear elliptic equations
Chapter 2. Quasilinear uniformly elliptic equations
Chapter 3. Mean curvature equations
Chapter 4. Minimal surface equations
Part 2. Fully nonlinear elliptic equations
Chapter 5. Fully nonlinear uniformly elliptic equations
Chapter 6. Monge-Ampère equations
Chapter 7. Complex Monge-Ampère equations
Chapter 8. Generalized solutions of Monge-Ampère equations
Bibliography
Index
Back Cover
π SIMILAR VOLUMES
<p><span>This book focuses on the following three topics in the theory of boundary value problems of nonlinear second order elliptic partial differential equations and systems: (i) eigenvalue problem, (ii) upper and lower solutions method, (iii) topological degree method, and deals with the existenc
Approach your problems from the It isn't that they can't see the right end and begin with the solution. It is that they can't see answers. Then one day, perhaps the problem. you will find the final question. G.K. Chesterton. The Scandal of 'The Hermit Clad in Crane Father Brown 'The Point of a Pin'.
<p>In the last 40 years semi-linear elliptic equations became a central subject of study in the theory of nonlinear partial differential equations. On the one hand, the interest in this area is of a theoretical nature, due to its deep relations to other branches of mathematics, especially linear and
This book presents a comprehensive study of boundary value problems for linear and semilinear second order elliptic equations with measure data,especially semilinear equations with absorption. The interactions between the diffusion operator and the absorption term give rise to a large class of nonli