UID:
almahu_9949462259402882
Format:
1 online resource (248 p.)
ISBN:
9783110305319
,
9783110647099
Series Statement:
De Gruyter Series in Nonlinear Analysis and Applications , 21
Content:
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 nonlinear harmonic analysis, dynamical systems, differential geometry and probability. On the other hand, this study is of interest because of its applications. Equations of this type come up in various areas such as problems of physics and astrophysics, curvature problems in Riemannian geometry, logistic problems related for instance to population models and, most importantly, the study of branching processes and superdiffusions in the theory of probability. The aim of this book is to present a comprehensive study of boundary value problems for linear and semi-linear second order elliptic equations with measure data. We are particularly interested in semi-linear 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. This book is accessible to graduate students and researchers with a background in real analysis and partial differential equations.
Note:
Frontmatter --
,
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
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Nonlinear Analysis and Applications, De Gruyter, 9783110647099
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013, De Gruyter, 9783110317350
In:
E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013, De Gruyter, 9783110317282
In:
E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013, De Gruyter, 9783110317275
Additional Edition:
ISBN 9783110305159
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110305319
URL:
https://doi.org/10.1515/9783110305319
URL:
https://www.degruyter.com/isbn/9783110305319
