Voir la notice de l'article provenant de la source Math-Net.Ru
@article{CMFD_2023_69_1_a4, author = {E. I. Galakhov and O. A. Salieva}, title = {Absence of positive solutions of some nonlinear inequalities with transformations of the argument in a half-space}, journal = {Contemporary Mathematics. Fundamental Directions}, pages = {62--72}, publisher = {mathdoc}, volume = {69}, number = {1}, year = {2023}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/CMFD_2023_69_1_a4/} }
TY - JOUR AU - E. I. Galakhov AU - O. A. Salieva TI - Absence of positive solutions of some nonlinear inequalities with transformations of the argument in a half-space JO - Contemporary Mathematics. Fundamental Directions PY - 2023 SP - 62 EP - 72 VL - 69 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2023_69_1_a4/ LA - ru ID - CMFD_2023_69_1_a4 ER -
%0 Journal Article %A E. I. Galakhov %A O. A. Salieva %T Absence of positive solutions of some nonlinear inequalities with transformations of the argument in a half-space %J Contemporary Mathematics. Fundamental Directions %D 2023 %P 62-72 %V 69 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2023_69_1_a4/ %G ru %F CMFD_2023_69_1_a4
E. I. Galakhov; O. A. Salieva. Absence of positive solutions of some nonlinear inequalities with transformations of the argument in a half-space. Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 1, pp. 62-72. http://geodesic.mathdoc.fr/item/CMFD_2023_69_1_a4/
[1] Galakhov E. I., Salieva O. A., “Otsutstvie reshenii zadachi Dirikhle dlya nekotorykh kvazilineinykh ellipticheskikh uravnenii v poluprostranstve”, Diff. uravn., 52 (2016), 749–760 | Zbl
[2] Mitidieri E., Pokhozhaev S. I., “Apriornye otsenki i razrushenie reshenii nelineinykh uravnenii i neravenstv v chastnykh proizvodnykh”, Tr. MIAN, 234, 2001, 1–383
[3] Pokhozhaev S. I., “Suschestvenno nelineinye emkosti, porozhdennye differentsialnymi operatorami”, Dokl. RAN, 56 (1997), 592–594 | Zbl
[4] Bidaut-Véron M. F., Pohozaev S., “Nonexistence results and estimates for some nonlinear elliptic problems”, J. Anal. Math., 84 (2001), 1–49 | DOI | MR | Zbl
[5] Birindelli I., Mitidieri E., “Liouville theorems for elliptic inequalities and applications”, Proc. Roy. Soc. Edinburgh, 128A (1998), 1217–1247 | DOI | MR | Zbl
[6] Dancer E., “Some notes on the method of moving planes”, Bull. Aust. Math. Soc., 46 (1992), 425–434 | DOI | MR | Zbl
[7] Dupaigne L., Sirakov B., Souplet Ph., A Liouville-type theorem for the Lane—Emden equation in a half-space, 2020, arXiv: 2003.11466 | MR
[8] Farina A., Montoro L., Sciunzi B., Monotonicity in half-spaces of positive solutions to $-\Delta_p u=f(u)$ in the case $p>2$, 2015, arXiv: 1509.03897v1 | MR
[9] Galakhov E., Salieva O., “On blow-up of solutions to differential inequalities with singularities on unbounded sets”, J. Math. Anal. Appl., 408 (2013), 102–113 | DOI | MR
[10] Galaktionov V., Mitidieri E., Pohozaev S., Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations, CRC Press, Boca Raton, 2014 | MR
[11] Salieva O., “On nonexistence of solutions to some nonlinear inequalities with transformed argument”, Electron. J. Qual. Theory Differ. Equ., 2017 (2017), 3–13 | DOI | MR | Zbl