Geodesic
On the Nonexistence of Positive Solutions to Semilinear Elliptic Equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Tome 227 (1999), pp. 162-169.

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V. V. Kurta. On the Nonexistence of Positive Solutions to Semilinear Elliptic Equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Tome 227 (1999), pp. 162-169. http://geodesic.mathdoc.fr/item/TM_1999_227_a11/

[1] Gidas B., Spruck J., “Global and local behavior of positive solutions of nonlinear elliptic equations”, Commun. Pure and Appl. Math., 34 (1981), 525–598 | DOI | MR | Zbl

[2] Ni W.-M., Serrin J., “Non-existence theorems for quasilinear partial differential equations”, Rend. Circ. Mat. Palermo. Suppl., ser. 2, 8 (1985), 171–185 | MR

[3] Bidaut-Veron M.-F., “Local and global behavior of solutions of quasilinear equations of Emden–Fowler type”, Arch. Ration. Mech. and Anal., 107 (1989), 293–324 | DOI | MR | Zbl

[4] Clément Ph., Monasevich R., Mitidieri E., “Positive solutions for a quasilinear system via blow-up”, Commun. Part. Diff. Equat., 18 (1993), 2071–2106 | DOI | MR | Zbl

[5] Berestycki H., Capuzzo Dolcetta I., Nirenberg L., “Superlinear indefinite elliptic problems and nonlinear Liouville theorems”, Top. Meth. Nonlin. Anal., 4 (1995), 59–78 | MR

[6] Mitidieri E., “Nonexistence of positive solutions of semilinear elliptic systems in $\mathbb R^N$”, Diff. and Integr. Equat., 9 (1996), 465–479 | MR | Zbl

[7] Kurta V. V., Nekotorye voprosy kachestvennoi teorii nelineinykh differentsialnykh uravnenii vtorogo poryadka, Dokt. dis., Mat. in-t im. V. A. Steklova RAN, M., 1994, 323 pp.

[8] Kurta V. V., Nekotorye voprosy kachestvennoi teorii nelineinykh differentsialnykh uravnenii vtorogo poryadka, Avtoref. dokt. dis., Moskva, 1995, 28 pp.

[9] Kurta V. V., “K voprosu ob otsutstvii tselykh polozhitelnykh reshenii u polulineinykh ellipticheskikh uravnenii”, UMN, 50:4 (1995), 127

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

[11] Littman U., Stampakkya G., Vainberger G., “Regulyarnye tochki dlya ellipticheskikh uravnenii s razryvnymi koeffitsientami”, Matematika, 9:2 (1965), 72–97

[12] Oleinik O. A., Radkevich E. V., Uravneniya vtorogo poryadka s neotritsatelnoi kharakteristicheskoi formoi, Itogi nauki. Matematicheskii analiz, VINITI, M., 1971 | MR | Zbl

[13] Goldshtein V. M., Reshetnyak Yu. G., Vvedenie v teoriyu funktsii s obobschennymi proizvodnymi i kvazikonformnye otobrazheniya, Nauka, M., 1983, 284 pp. | MR

[14] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1989, 624 pp. | MR