Jump to ContentJump to Main Navigation
Show Summary Details

Marcus, Moshe / Véron, Laurent

Nonlinear Second Order Elliptic Equations Involving Measures

Series:De Gruyter Series in Nonlinear Analysis and Applications 21

    139,95 € / $196.00 / £127.00*

    eBook (PDF)
    Publication Date:
    November 2013
    Copyright year:
    2014
    ISBN
    978-3-11-030531-9
    See all formats and pricing

    Overview

    Aims and Scope

    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.

    Supplementary Information

    Details

    xiii, 248 pages
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):
    Elliptic equations; Boundary trace; Singularities; Large solutions; Subcritical nonlinearity

    MARC record

    MARC record for eBook

    request permissions

    More ...

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

    Reviews

    "The book is self-contained and it is highly recommended to researchers and graduate students with a background in Real Analysis and Partial Differential Equations." Zentralblatt für Mathematik

    Comments (0)

    Please log in or register to comment.
    Log in