| Title | About the isoperimetric property of λ-convex lunes on the Lobachevsky plane |
| Publication Type | Journal Article |
| Year of Publication | 2014 |
| Authors | Drach, KD |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2014.11.011 |
| Issue | 11 |
| Section | Mathematics |
| Pagination | 11-15 |
| Date Published | 11/2014 |
| Language | Russian |
| Abstract | We give a sharp lower bound of the area of a domain that can be enclosed by a closed embedded λ-convex curve of a given length on the Lobachevsky plane. |
| Keywords | Lobachevsky plane, λ-convex curve |
1. Burago Yu. D., Zalgaller V. A. Geometric inequalities, Leningrad: Nauka, 1980 (in Russian).
2. Borisenko A. A., Drach K. D. Matem. zametki, 2014, 95, Iss. 5: 656–665 (in Russian).
3. Borisenko A. A., Drach K. D. J. Dynam. and Control Syst., 2015, 21, Iss. 3: 311-327. https://doi.org/10.1007/s10883-014-9221-z
4. Borisenko A. A., Drach K. D. Mat. sb., 2013, 204, No 11: 21–40 (in Russian).
5. Howard R., Treibergs A. Rocky Mountain J. Math., 1995, 25, No 2: 635–684. https://doi.org/10.1216/rmjm/1181072242
6. Milka A. D. Ukr. geok. sb. 1978, 21: 88–91 (in Russian).
7. Milyutin A. A., Dmitruk A. V., Osmolovsky N. P. The maximum principle in optimal control, Moscow: Izd-vo TSPI pri mekh.-mat. fakultete MGU, 2004 (in Russian).
8. Fillmore J. P. Proc. Amer. Math. Soc., 1970, 24: 705–709.
9. Bliashke V. Circle and ball, Moscow: Nauka, 1967 (in Russian).
10. Kelley H. J., Kopp R. E., Moyer H. G. Singular extremals. In: Topics in Optimization / Ed. G. Leitmann, New York: Academ. Press, 1967: 63–103. https://doi.org/10.1016/s0076-5392(09)60039-4
