Nonlinear Second Order Elliptic Equations Involving Measures

✍ Scribed by Moshe Marcus; Laurent Véron

Publisher: De Gruyter
Year: 2013
Tongue: English
Leaves: 263
Series: De Gruyter series in nonlinear analysis and applications
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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 nonlinear phenomena in the study of which singularities and boundary trace play a central role

✦ Table of Contents

Content: Preface; Contents; Chapter 1. Linear second order elliptic equations with measure data; Chapter 2. Nonlinear second order elliptic equations with measure data; Chapter 3. The boundary trace and associated boundary value problems; Chapter 4. Isolated singularities; Chapter 5. Classical theory of maximal and large solutions; Chapter 6. Further results on singularities and large solutions; Bibliography; Index.
Abstract:

Presents a comprehensive study of boundary value problems for linear and semilinear second order elliptic equations with measure data,especially semilinear equations with absorption. Read more...

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