Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Available in electronic format
Available in print format
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Retrieve article in: PDF

Book Information

Author(s): C. V. Pao
Title: Nonlinear parabolic and elliptic equations
Additional book information: Plenum Press, New York and London, 1992, xv+777 pp., US$125.00. ISBN 0-306-44343-0


References:

Bibliography

[1]
O. Perron, Ein Neuer Existenzbeweis fur sie Integrale der Differentialgleichung $ y'= f(x,y)$, Math. Ann. 76 (1915), 471-484. MR 1511836

[2]
M. Nagumo, On principally linear elliptic differential equations of second order, Osaka. J. Math. 6 (1954), 207-229. MR 0070014 (16:1116a)

[3]
K. Ako, On the Dirichlet problem of quasi-linear elliptic differential equations of second order, J. Math. Soc. Japan 13 (1961), 45-62. MR 0147758 (26:5272)

[4]
H. B. Keller, Elliptic boundary value problems suggested by nonlinear diffusion processes, Arch. Rational Mech. Anal. 5 (1969), 363-381. MR 0255979 (41:639)

[5]
H. Amann, On the existence of positive solutions of nonlinear elliptic boundary value problems, Indiana Univ. Math. J. 21 (1971), 125-146. MR 0296498 (45:5558)

[6]
K. Schmitt, Boundary value problems for quasilinear second order elliptic equations, Nonlinear Anal. 2 (1978), 263-309. MR 512661 (80b:35064)

[7]
D. Sattinger, Monotone methods in nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. J. 21 (1972), 979-1000. MR 0299921 (45:8969)

[8]
C. V. Pao, Successive approximations of some nonlinear initial-boundary value problems, SIAM J. Math. Anal. 5 (1974), 91-102. MR 0339507 (49:4265)

[9]
-, Positive solutions of a nonlinear boundary value problem of parabolic type, J. Differential Equations 22 (1976), 145-163. MR 0422876 (54:10862)

[10]
J. P. Puel, Existence, comportement à l'infini et stabilité dans certaines problèmes quasilinéaires elliptiques et paraboliques d'ordre 2, Ann. Scuola Norm. Sup. Pisa Cl. Sci (4) 3 (1976), 89-119. MR 0399654 (53:3497)

[11]
H. A. Levine and L. E. Payne, Nonexistence theorem for the heat equation with nonlinear boundary conditions and for porous medium equation backward in time, J. Differential Integral Equations 16 (1974), 319-334. MR 0470481 (57:10235)

[12]
A. Friedman and B. McLeod, Blowup of positive solutions of semilinear heat equations, Indiana Univ. Math. J. 34 (1985), 425-447. MR 783924 (86j:35089)

[13]
S. Carl, On existence of extremal weak solutions for a class of quasilinear parabolic problems, Differential Integral Equations 6 (1993), 1493-1505. MR 1235207 (94h:35124)

[14]
H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Rev. 18 (1976), 620-709. MR 0415432 (54:3519)


Additional Information:

Reviewer(s):
Jerrold Bebernes

Review Information:
Journal: Bull. Amer. Math. Soc. 32 (1995), 166-169.
DOI: 10.1090/S0273-0979-1995-00568-9
PII: S 0273-0979(1995)00568-9




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia