Elliptic Equations: An Introductory Course (Birkhäuser Advanced Texts Basler Lehrbücher) - Hardcover

Chipot, Michel

 
9783031541216: Elliptic Equations: An Introductory Course (Birkhäuser Advanced Texts Basler Lehrbücher)
Hardcover
ISBN 10: 3031541219 ISBN 13: 9783031541216
Publisher: Birkhäuser, 2024

Synopsis

The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and complicated refinements. Apart from the basic theory of equations in divergence form, it includes subjects as singular perturbations, homogenization, computations, asymptotic behavior of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, Navier-Stokes systems, p-Laplace type operators, large solutions, and mountain pass techniques. Just a minimum on Sobolev spaces has been introduced and work on integration on the boundary has been carefully avoided to keep the reader attention focused on the beauty and variety of these issues.

The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original, and have not been published elsewhere. The book will be of interest to graduate students and researchers specializing in partial differential equations.

"synopsis" may belong to another edition of this title.

About the Author

Michel Chipot is Professor at the Institute of Mathematics, University of Zürich, Zürich, Switzerland.

From the Back Cover

The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and complicated refinements. Apart from the basic theory of equations in divergence form, it includes subjects as singular perturbations, homogenization, computations, asymptotic behavior of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, Navier-Stokes systems, p-Laplace type operators, large solutions, and mountain pass techniques. Just a minimum on Sobolev spaces has been introduced and work on integration on the boundary has been carefully avoided to keep the reader attention focused on the beauty and variety of these issues.

The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original, and have not been published elsewhere. The book will be of interest to graduate students and researchers specializing in partial differential equations.

"About this title" may belong to another edition of this title.

Publisher
Birkhäuser
Publication date
2024
Language
English
ISBN 10 
3031541219
ISBN 13 
9783031541216
Binding
Hardcover
Edition number
2
Number of pages
408