عنوان
پدید آورنده
موضوع
رده
QA377 .F73 2000
QA377
.
F73
2000
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0521461952
(Number (ISBN
9780521461955
NATIONAL BIBLIOGRAPHY NUMBER
Number
b784771
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
An introduction to maximum principles and symmetry in elliptic problems /
General Material Designation
[Book]
First Statement of Responsibility
L.E. Fraenkel.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY, USA :
Name of Publisher, Distributor, etc.
Cambridge University Press,
Date of Publication, Distribution, etc.
2000.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
x, 340 pages :
Other Physical Details
illustrations ;
Dimensions
24 cm.
SERIES
Series Title
Cambridge tracts in mathematics ;
Volume Designation
128
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 332-336) and index.
CONTENTS NOTE
Text of Note
Some Notation, Terminology and Basic Calculus -- 1. Introduction -- 2. Some Maximum Principles for Elliptic Equations -- 3. Symmetry for a Non-linear Poisson Equation in a Symmetric Set [Omega] -- 4. Symmetry for the Non-linear Poisson Equation in R[superscript N] -- 5. Monotonicity of Positive Solutions in a Bounded Set [Omega] -- App. A. On the Newtonian Potential -- App. B. Rudimentary Facts about Harmonic Functions and the Poisson Equation -- App. C. Construction of the Primary Function of Siegel Type -- App. D. On the Divergence Theorem and Related Matters -- App. E. The Edge-Point Lemma.
0
SUMMARY OR ABSTRACT
Text of Note
"This is the first book to present the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary facts about the linear case to recent results about positive solutions of non-linear elliptic equations. Gidas, Ni and Nirenberg, building on work of Alexandrov and of Serrin, have shown that the shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the equation and its boundary condition allow spherically symmetric solutions, then, remarkably, all positive solutions are spherically symmetric."--Jacket.
TOPICAL NAME USED AS SUBJECT
Differential equations, Elliptic, Problems, exercises, etc.
Differential equations, Elliptic.
Maximum principles (Mathematics)
Symmetry.
Differential equations, Elliptic, Problems, exercises, etc.
Differential equations, Elliptic.
Elliptische differentiaalvergelijkingen.
Elliptische Differentialgleichung
Équations différentielles elliptiques.
Maximum principles (Mathematics)
Maximum principles (Mathematics)
Principes du maximum (mathématiques)
Symmetry.
DEWEY DECIMAL CLASSIFICATION
Number
515
.
353
Edition
21
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA377
Book number
.
F73
2000
OTHER CLASS NUMBERS
Class number
31
.
45
System Code
bcl
PERSONAL NAME - PRIMARY RESPONSIBILITY
Fraenkel, L. E.
ORIGINATING SOURCE
Date of Transaction
20201206225033.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
