Nonlinear Second Order Elliptic Equations Involving Measures / / Moshe Marcus, Laurent Véron.
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 no...
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Marcus, Moshe, author. aut http://id.loc.gov/vocabulary/relators/aut Nonlinear Second Order Elliptic Equations Involving Measures / Moshe Marcus, Laurent Véron. Berlin ; Boston : De Gruyter, [2013] ©2014 1 online resource (248 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Series in Nonlinear Analysis and Applications , 0941-813X ; 21 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Differential equations, Elliptic. Differential equations, Nonlinear. Elliptische Gleichungen. Maßtheorie. Nichtlineare Analysis. MATHEMATICS / Differential Equations / General. bisacsh Boundary trace. Elliptic equations. Large solutions. Singularities. Subcritical nonlinearity. Véron, Laurent, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications 9783110647099 Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013 9783110317350 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013 9783110317282 ZDB-23-DMI Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013 9783110317275 ZDB-23-DMP print 9783110305159 https://doi.org/10.1515/9783110305319 https://www.degruyter.com/isbn/9783110305319 Cover https://www.degruyter.com/document/cover/isbn/9783110305319/original |
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English |
format |
eBook |
author |
Marcus, Moshe, Marcus, Moshe, Véron, Laurent, |
spellingShingle |
Marcus, Moshe, Marcus, Moshe, Véron, Laurent, Nonlinear Second Order Elliptic Equations Involving Measures / De Gruyter Series in Nonlinear Analysis and Applications , 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 |
author_facet |
Marcus, Moshe, Marcus, Moshe, Véron, Laurent, Véron, Laurent, Véron, Laurent, |
author_variant |
m m mm m m mm l v lv |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Véron, Laurent, Véron, Laurent, |
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l v lv |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Marcus, Moshe, |
title |
Nonlinear Second Order Elliptic Equations Involving Measures / |
title_full |
Nonlinear Second Order Elliptic Equations Involving Measures / Moshe Marcus, Laurent Véron. |
title_fullStr |
Nonlinear Second Order Elliptic Equations Involving Measures / Moshe Marcus, Laurent Véron. |
title_full_unstemmed |
Nonlinear Second Order Elliptic Equations Involving Measures / Moshe Marcus, Laurent Véron. |
title_auth |
Nonlinear Second Order Elliptic Equations Involving Measures / |
title_alt |
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 |
title_new |
Nonlinear Second Order Elliptic Equations Involving Measures / |
title_sort |
nonlinear second order elliptic equations involving measures / |
series |
De Gruyter Series in Nonlinear Analysis and Applications , |
series2 |
De Gruyter Series in Nonlinear Analysis and Applications , |
publisher |
De Gruyter, |
publishDate |
2013 |
physical |
1 online resource (248 p.) Issued also in print. |
contents |
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 |
isbn |
9783110305319 9783110647099 9783110238570 9783110238471 9783110637205 9783110317350 9783110317282 9783110317275 9783110305159 |
issn |
0941-813X ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA377 |
callnumber-sort |
QA 3377 M274 42014EB |
url |
https://doi.org/10.1515/9783110305319 https://www.degruyter.com/isbn/9783110305319 https://www.degruyter.com/document/cover/isbn/9783110305319/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515/.3533 |
dewey-sort |
3515 43533 |
dewey-raw |
515/.3533 |
dewey-search |
515/.3533 |
doi_str_mv |
10.1515/9783110305319 |
oclc_num |
979584945 |
work_keys_str_mv |
AT marcusmoshe nonlinearsecondorderellipticequationsinvolvingmeasures AT veronlaurent nonlinearsecondorderellipticequationsinvolvingmeasures |
status_str |
n |
ids_txt_mv |
(DE-B1597)206867 (OCoLC)979584945 |
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cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013 Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013 Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013 |
is_hierarchy_title |
Nonlinear Second Order Elliptic Equations Involving Measures / |
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Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications |
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