|
|
|
|
References
|
|
| |
| 1. |
Balinsky A. A., Evans W. D., Lewis R. T., The analysis and geometry of Hardy's inequality, Universitext, Springer, Heidelberg, 2015   |
| 2. |
Matskewich T., Sobolevskii P. E., “The best possible constant in a generalized Hardy's inequality for convex domains in $\mathbb R^n$”, Nonlinear Anal., 28:9 (1997), 1601–1610 |
| 3. |
Marcus M., Mitzel V. J., Pinchover Y., “On the best constant for Hardy's inequality in $\mathbb R^n$”, Trans. Amer. Math. Soc., 350:8 (1998), 3237–3250 |
| 4. |
Davies E. B, “A review of Hardy inequalities”, The Maz'ya anniversary collection (Rostok, 1998), v. 2, Oper. Theory Adv. Appl., 110, Birkhäuser, Boston, 1999, 5–67 |
| 5. |
Barbatis G., Filippas S, Tertikas A., “A unified approach to improved $L^p$ Hardy inequalities with best constants”, Trans. Amer. Math. Soc., 356:6 (2004), 2169–2196 |
| 6. |
Avkhadiev F. G., “Hardy type inequalities in higher dimensions with explicit estimate of constants”, Lobachevskii J. Math., 21 (2006), 3–31    |
| 7. |
Avkhadiev F. G., “Neravenstva tipa Khardi v ploskikh i prostranstvennykh otkrytykh mnozhestvakh”, Tr. Mat. in-ta RAN, 255, 2006, 8–18 |
| 8. |
Avkhadiev F. G., Shafigullin I. K., “Tochnye otsenki konstant Khardi dlya oblastei so spetsialnymi granichnymi svoistvami”, Izv. vuzov. Mat., 2014, no. 2, 69–73 |
| 9. |
Avkhadiev F. G., Wirths K.-J., “Unified Poincaré and Hardy inequalities with sharp constants for convex domains”, ZAMM Z. Angew. Math. Mech., 87:8–9 (2007), 632–642 |
| 10. |
Avkhadiev F. G., Wirths K.-J., “Sharp Hardy-type inequalities with Lamb's constants”, Bull. Belg. Math. Soc. Simon Stevin, 18:4 (2011), 723–736 |
| 11. |
Avkhadiev F. G., Wirths K.-J., “On the best constants for the Brezis-Marcus inequalities in balls”, J. Math. Anal. Appl., 396:2 (2012), 473–480 |
| 12. |
Avkhadiev F. G., Laptev A., “Hardy inequalities for nonconvex domains”, Around the Research of Vladimir Maz'ya, v. I, Int. Math. Ser. (N.Y.), 11, Springer, New York, 2010, 1–12 |
| 13. |
Avkhadiev F. G., “Hardy inequalities in non-convex domains of the Euclidean space”, J. Anal., 23 (2015), 1–20 |
| 14. |
Avkhadiev F. G., “Geometricheskoe opisanie oblastei, dlya kotorykh konstanta Khardi ravna $1/4$”, Izv. RAN. Ser. mat., 78:5 (2014), 3–26 |
| 15. |
Owen M. P., “The Hardy-Rellich inequality for polyharmonic operators”, Proc. Roy. Soc. Edinburgh Sect. A, 129:4 (1999), 825–839 |
| 16. |
Avkhadiev F. G., “Hardy-Rellich inequalities in domains of the Euclidean space”, J. Math. Anal. Appl., 442:2 (2016), 469–484 |
| 17. |
Avkhadiev F. G., “Integralnye neravenstva v oblastyakh giperbolicheskogo tipa i ikh primeneniya”, Mat. sb., 206:12 (2015), 3–28 |
| 18. |
Avkhadiev F. G., Nasibullin R. G., “Neravenstva tipa Khardi v proizvolnykh oblastyakh s konechnym vnutrennim radiusom”, Sib. mat. zh., 55:2 (2014), 239–250 |
| 19. |
Avkhadiev F. G., Shafigullin I. K., “Otsenki konstant Khardi pri trubchatom rasshirenii mnozhestv i v oblastyakh s konechnymi granichnymi momentami”, Mat. tr., 16:2 (2013), 3–12 |
| 20. |
Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 |
