: Moshe Marcus, Laurent Véron
: Nonlinear Second Order Elliptic Equations Involving Measures
: Walter de Gruyter GmbH& Co.KG
: 9783110305319
: De Gruyter Series in Nonlinear Analysis and ApplicationsISSN
: 1
: CHF 168.50
:
: Analysis
: English
: 261
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF
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.



< >Moshe Marcus, Technion, Haifa, Israel;Laurent Véron, Université François Rabelais, Tours, France.

Preface5
Contents11
Chapter 1. Linear second order elliptic equations with measure data15
Chapter 2. Nonlinear second order elliptic equations with measure data47
Chapter 3. The boundary trace and associated boundary value problems80
Chapter 4. Isolated singularities122
Chapter 5. Classical theory of maximal and large solutions176
Chapter 6. Further results on singularities and large solutions209
Bibliography253
Index261