A note on gradient mappings
HTML articles powered by AMS MathViewer
- by E. H. Rothe PDF
- Proc. Amer. Math. Soc. 10 (1959), 931-935 Request permission
Erratum: Proc. Amer. Math. Soc. 11 (1960), 999-1000.
References
- S. Banach, Théorie des opérations linéaires, Warszawa, 1932.
- È. S. Citlanadze, Some problems of nonlinear operators and the calculus of variations in spaces of Banach type, Uspehi Matem. Nauk (N.S.) 5 (1950), no. 4(38), 141–142 (Russian). MR 0036449
- È. S. Citlanadze, The method of orthogonal trajectories for nonlinear operators of variational type in the space $L_p$, Akad. Nauk Gruzin. SSR. Trudy Tbiliss. Mat. Inst. Razmadze 20 (1954), 245–278 (Russian). MR 0068738
- Mahlon M. Day, Normed linear spaces, Reihe: Reelle Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0094675 S. Kakutani, Some characterizations of Euclidean space, Jap. J. Math. vol. 15 (1939) pp. 93-137.
- E. H. Rothe, Gradient mappings and extrema in Banach spaces, Duke Math. J. 15 (1948), 421–431. MR 29104
- E. H. Rothe, Gradient mappings, Bull. Amer. Math. Soc. 59 (1953), 5–19. MR 52681, DOI 10.1090/S0002-9904-1953-09649-5
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 931-935
- MSC: Primary 46.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0110028-3
- MathSciNet review: 0110028