Nonlinear Second Order Elliptic Equations Involving Measures
Saved in:
| Title: | Nonlinear Second Order Elliptic Equations Involving Measures |
|---|---|
| Description: | 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. |
| Authors: | Moshe Marcus, Laurent Véron |
| Resource Type: | eBook. |
| Subjects: | Differential equations, Elliptic, Differential equations, Nonlinear |
| Categories: | MATHEMATICS / Differential Equations / General, MATHEMATICS / Vector Analysis, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Functional Analysis |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
|---|---|
| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 674389 RelevancyScore: 1051 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1050.81640625 |
| IllustrationInfo | |
| ImageInfo | – Size: thumb Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$674389$PDF&s=r – Size: medium Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$674389$PDF&s=d |
| Items | – Name: Title Label: Title Group: Ti Data: Nonlinear Second Order Elliptic Equations Involving Measures – Name: Abstract Label: Description Group: Ab Data: 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. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Moshe+Marcus%22">Moshe Marcus</searchLink><br /><searchLink fieldCode="AR" term="%22Laurent+Véron%22">Laurent Véron</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Differential+equations%2C+Elliptic%22">Differential equations, Elliptic</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%2C+Nonlinear%22">Differential equations, Nonlinear</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Differential+Equations+%2F+General%22">MATHEMATICS / Differential Equations / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Vector+Analysis%22">MATHEMATICS / Vector Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Mathematical+Analysis%22">MATHEMATICS / Mathematical Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Functional+Analysis%22">MATHEMATICS / Functional Analysis</searchLink> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=674389 |
| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 515 Scheme: ddc Type: prePub – Code: 515.3533 Scheme: ddc Type: prePub – Code: 515.3533 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Differential equations, Elliptic Type: general – SubjectFull: Differential equations, Nonlinear Type: general Titles: – TitleFull: Nonlinear Second Order Elliptic Equations Involving Measures Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Moshe Marcus – PersonEntity: Name: NameFull: Laurent Véron – PersonEntity: Name: NameFull: Moshe Marcus – PersonEntity: Name: NameFull: Laurent Véron IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2013 – D: 21 M: 03 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9783110305159 – Type: isbn-electronic Value: 9783110305319 Titles: – TitleFull: Nonlinear Second Order Elliptic Equations Involving Measures Type: main |
| ResultId | 1 |
