Nonlinear monotone operators and convex sets in Banach spaces
Author:
Felix E. Browder
Journal:
Bull. Amer. Math. Soc. 71 (1965), 780-785
DOI:
https://doi.org/10.1090/S0002-9904-1965-11391-X
MathSciNet review:
0180882
Full-text PDF Free Access
References | Additional Information
- 1. Felix E. Browder, Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc. 69 (1963), 862–874. MR 156116, https://doi.org/10.1090/S0002-9904-1963-11068-X
- 2. Felix E. Browder, Nonlinear elliptic problems. II, Bull. Amer. Math. Soc. 70 (1964), 299–302. MR 160033, https://doi.org/10.1090/S0002-9904-1964-11134-4
- 3. Felix E. Browder, Nonlinear elliptic boundary value problems. II, Trans. Amer. Math. Soc. 117 (1965), 530–550. MR 173846, https://doi.org/10.1090/S0002-9947-1965-0173846-9
- 4. Felix E. Browder, On a theorem of Beurling and Livingston, Canadian J. Math. 17 (1965), 367–372. MR 176320, https://doi.org/10.4153/CJM-1965-037-2
- 5. Felix E. Browder, Multi-valued monotone nonlinear mappings and duality mappings in Banach spaces, Trans. Amer. Math. Soc. 118 (1965), 338–351. MR 180884, https://doi.org/10.1090/S0002-9947-1965-0180884-9
- 6. Felix E. Browder, Existence and uniqueness theorems for solutions of nonlinear boundary value problems, Proc. Sympos. Appl. Math., Vol. XVII, Amer. Math. Soc., Providence, R.I., 1965, pp. 24–49. MR 0197933
- 7. J. Leray and J. L. Lions, Quelques résultats de Visik sur les problèmes elliptiques quasi-linéaires par le méthode de Minty-Browder, Séminaire de Collège de France, 1964.
- 8. George J. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J. 29 (1962), 341–346. MR 169064
- 9. George J. Minty, on a “monotonicity” method for the solution of non-linear equations in Banach spaces, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 1038–1041. MR 162159, https://doi.org/10.1073/pnas.50.6.1038
Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1965-11391-X