Book Review
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MathSciNet review:
1567218
Full text of review:
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Book Information:
Authors:
Dan Pascali and
Silviu Sburlan
Title:
Nonlinear mappings of monotone type
Additional book information:
Sythoff & Noordhoff, Alphen aan den Rijn, The Netherlands, 1978, x + 342 pp., $43.00.
Haïm Brezis, Équations et inéquations non linéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier (Grenoble) 18 (1968), no. fasc. 1, 115–175 (French). MR 270222
H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland Mathematics Studies, No. 5, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973 (French). MR 0348562
H. Brézis and F. E. Browder, Strongly nonlinear elliptic boundary value problems, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 5 (1978), no. 3, 587–603. MR 507004
Felix E. Browder, Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains, Proc. Nat. Acad. Sci. U.S.A. 74 (1977), no. 7, 2659–2661. MR 445124, DOI 10.1073/pnas.74.7.2659
Jean Leray and Jules Schauder, Topologie et équations fonctionnelles, Ann. Sci. École Norm. Sup. (3) 51 (1934), 45–78 (French). MR 1509338
6. R. I. Kachurovskii, Non-linear monotone operators in Banach spaces (English translation), Russian Math. Surveys 23 (1968), 117-165.
W. V. Petryshyn, On the approximation-solvability of equations involving $A$-proper and psuedo-$A$-proper mappings, Bull. Amer. Math. Soc. 81 (1975), 223–312. MR 388173, DOI 10.1090/S0002-9904-1975-13728-1
B. N. Sadovskiĭ, Limit-compact and condensing operators, Uspehi Mat. Nauk 27 (1972), no. 1(163), 81–146 (Russian). MR 0428132
Guido Stampacchia, Variational inequalities, Theory and Applications of Monotone Operators (Proc. NATO Advanced Study Inst., Venice, 1968) Edizioni “Oderisi”, Gubbio, 1969, pp. 101–192. MR 0425699
- 1.
- H. Brézis, Équations et inéquations non linéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier Grenoble 18 (1968), 115-175. MR 0270222
- 2.
- H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, Math. Studies, vol. 5, North-Holland, Amsterdam, 1973. MR 348562
- 3.
- H. Brézis and F. E. Browder, Strongly nonlinear elliptic boundary value problems, Ann. Scuola Norm. Sup. Pisa 5 (1978), 587-603. MR 507004
- 4.
- F. E. Browder, Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains, Proc. Nat. Acad. Sci. U.S.A. 74 (1977), 2659-2661. MR 445124
- 5.
- J. Leray and J. Schauder, Topologie et équations fonctionelles, Ann. Sci. École Norm. Sup. 51 (1934), 45-78. MR 1509338
- 6.
- R. I. Kachurovskii, Non-linear monotone operators in Banach spaces (English translation), Russian Math. Surveys 23 (1968), 117-165.
- 7.
- W. V. Petryshyn, On the approximation-solvability of equations involving A-proper and pseudo-A-proper mappings, Bull. Amer. Math. Soc. 81 (1975), 223-312. MR 388173
- 8.
- B. N. Sadovskii, Limit compact and condensing operators (English translation), Russian Math. Surveys 27 (1972), 85-155. MR 428132
- 9.
- G. Stampacchia, Variational inequalities, Theory and Applications of Monotone Operators, Ed. Oderisi, Gubbio, 1969, pp. 101-192. MR 425699
Review Information:
Reviewer:
Jeffrey R. L. Webb
Journal:
Bull. Amer. Math. Soc.
2 (1980), 229-232
DOI:
https://doi.org/10.1090/S0273-0979-1980-14732-1
