Nonlinear Second Order Elliptic Equations

Mingxin Wang (u. a.)

ISBN 10: 981998694X / ISBN 13: 9789819986941

Published by Springer, 2025

About this Item

Nonlinear Second Order Elliptic Equations | Mingxin Wang (u. a.) | Taschenbuch | xii | Englisch | 2025 | Springer | EAN 9789819986941 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 133221366

Bibliographic Details

• Title: Nonlinear Second Order Elliptic Equations
• Publisher: Springer
• Publication Date: 2025
• Language: English
• ISBN 10: 981998694X
• ISBN 13: 9789819986941
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 18D millimeters 235 millimeters width by 155 millimeters height by 18 millimeters depth
• Weight: 499 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

This book focuses on the following three topics in the theory of boundary value problems of nonlinear second order elliptic partial differential equations and systems: (i) eigenvalue problem, (ii) upper and lower solutions method, (iii) topological degree method, and deals with the existence of solutions, more specifically non-constant positive solutions, as well as the uniqueness, stability and asymptotic behavior of such solutions.

While not all-encompassing, these topics represent major approaches to the theory of partial differential equations and systems, and should be of significant interest to graduate students and researchers. Two appendices have been included to provide a good gauge of the prerequisites for this book and make it reasonably self-contained.

A notable strength of the book is that it contains a large number of substantial examples. Exercises for the reader are also included. Therefore, this book is suitable as a textbook for graduate students who havealready had an introductory course on PDE and some familiarity with functional analysis and nonlinear functional analysis, and as a reference for researchers.

About the Author

Mingxin Wang received his PhD from the Beijing Institute of Technology. He is a prolific educator and researcher in the theory of partial differential equations. In the last two decades, he has made significant contributions to the study of diffusive systems arising in mathematical biology, especially population dynamics.

Peter Y. H. Pang received his PhD from the University of Illinois at Urbana-Champaign. His research interests include partial differential equations and geometric analysis. In the past two decades, he has focused on parabolic and elliptic equations with applications in mathematical biology.

The two authors have collaborated over a period of more than 15 years, and have co-authored 17 research papers. This book draws upon some key findings and examples resulting from this fruitful collaboration.