On the nonexistence of solutions of elliptic differential inequalities in a~neighborhood of a~conic point of the boundary
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2002), pp. 50-59.

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G. G. Laptev. On the nonexistence of solutions of elliptic differential inequalities in a~neighborhood of a~conic point of the boundary. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2002), pp. 50-59. http://geodesic.mathdoc.fr/item/IVM_2002_9_a4/

[1] Kondratev V. A., “Kraevye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi i uglovymi tochkami”, Tr. Mosk. matem. o-va, 16, 1967, 209–292

[2] Nazarov S. A., Plamenevskii B. A., Ellipticheskie zadachi v oblastyakh s kusochno gladkoi granitsei, Nauka, M., 1991, 336 pp.

[3] Kondratev V. A., “O resheniyakh slabonelineinykh ellipticheskikh uravnenii v okrestnosti konicheskoi tochki granitsy”, Differents. uravneniya, 29:2 (1993), 298–305 | MR

[4] Konkov A. A., “O neotritsatelnykh resheniyakh kvazilineinykh ellipticheskikh neravenstv”, Izv. RAN. Ser. matem., 63:2 (1999), 41–126 | MR | Zbl

[5] Kurta V. V., “Ob otsutstvii polozhitelnykh reshenii u polulineinykh ellipticheskikh uravnenii”, Tr. MIAN, 227, 1999, 162–169 | MR | Zbl

[6] Kurta V. V., Nekotorye voprosy kachestvennoi teorii nelineinykh differentsialnykh uravnenii vtorogo poryadka, Dis. ...dokt. fiz.-matem. nauk, M., 1994, 323 pp.

[7] Mitidieri E., Pokhozhaev S. I., “Otsutstvie globalnykh polozhitelnykh reshenii kvazilineinykh ellipticheskikh neravenstv”, Dokl. RAN, 359:4 (1998), 456–460 | MR | Zbl

[8] Mitidieri E., Pokhozhaev S. I., “Otsutstvie polozhitelnykh reshenii dlya kvazilineinykh ellipticheskikh zadach v $\mathbb{R}^N$”, Tr. MIAN, 227, 1999, 192–222 | MR | Zbl

[9] Brezis H., Cabré X., “Some simple nonlinear PDE's without solutions”, Boll. Unione Mat. Ital. Ser. B, 8 (1998), 223–262 | MR | Zbl

[10] Mitidieri E., Pokhozhaev S. I., Apriornye otsenki i otsutstvie reshenii differentsialnykh neravenstv v chastnykh proizvodnykh, Tr. MIAN, 234, 2001, 384 pp. | MR | Zbl

[11] Laptev G. G., “Ob otsutstvii reshenii odnogo klassa singulyarnykh polulineinykh differentsialnykh neravenstv”, Tr. MIAN, 232, 2001, 223–235 | MR | Zbl

[12] Laptev G. G., “Otsutstvie globalnykh polozhitelnykh reshenii sistem polulineinykh ellipticheskikh neravenstv v konusakh”, Izv. RAN. Ser. matem., 64:6 (2000), 107–124 | MR | Zbl