Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
2507282
Full text of review:
PDF
This review is available free of charge.
Book Information:
Authors:
Patrizia Pucci and
James Serrin
Title:
The maximum principle
Additional book information:
Progress in Nonlinear Differential Equations and Their Applications, no. 73,
Birkhäuser Verlag,
Basel,
no. 73,
2007,
x+235 pp.,
ISBN 978-3-7643-8144-8,
US $64.95$
H. Berestycki, L. Nirenberg, and S. R. S. Varadhan, The principal eigenvalue and maximum principle for second-order elliptic operators in general domains, Comm. Pure Appl. Math. 47 (1994), no. 1, 47–92. MR 1258192, DOI 10.1002/cpa.3160470105
L. E. Fraenkel, An introduction to maximum principles and symmetry in elliptic problems, Cambridge Tracts in Mathematics, vol. 128, Cambridge University Press, Cambridge, 2000. MR 1751289, DOI 10.1017/CBO9780511569203
David Gilbarg and Neil S. Trudinger, Elliptic partial differential equations of second order, Classics in Mathematics, Springer-Verlag, Berlin, 2001. Reprint of the 1998 edition. MR 1814364
Murray H. Protter and Hans F. Weinberger, Maximum principles in differential equations, Springer-Verlag, New York, 1984. Corrected reprint of the 1967 original. MR 762825, DOI 10.1007/978-1-4612-5282-5
James Serrin, Local behavior of solutions of quasi-linear equations, Acta Math. 111 (1964), 247–302. MR 170096, DOI 10.1007/BF02391014
- 1.
- H. Berestycki, L. Nirenberg, and S. R. S. Varadhan, The principal eigenvalue and maximum principle for second-order elliptic operators in general domains, Comm. Pure Appl. Math. 47 (1994), 47-92. MR 1258192
- 2.
- L. E. Fraenkel, An introduction to maximum principles and symmetry in elliptic problems, Cambridge Tracts in Mathematics 128, Cambridge University Press, Cambridge, 2000. MR 1751289
- 3.
- D. Gilbarg, and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, 2001. MR 1814364
- 4.
- M. H. Protter, and H. F. Weinberger, Maximum Principles in Differential Equations, Springer-Verlag, New York, 1984. MR 0762825
- 5.
- J. Serrin, Local behavior of solutions of quasi-linear equations, Acta Math. 111 (1964), 247-302. MR 0170096
Review Information:
Reviewer:
Yehuda Pinchover
Affiliation:
Technion - Israel Institute of Technology
Email:
pincho@techunix.technion.ac.il
Journal:
Bull. Amer. Math. Soc.
46 (2009), 499-504
DOI:
https://doi.org/10.1090/S0273-0979-09-01246-4
Published electronically:
March 16, 2009
Review copyright:
© Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
