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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 500, Pages 35–39
DOI: https://doi.org/10.31857/S2686954321050209 (Mi danma201) 		 
MATHEMATICS

Comparison theorems for elliptic inequalities with lower-order derivatives that take into account the geometry of the domain

A. A. Kon'kov

Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954321050209
Abstract: Comparison theorems are obtained with the help of which the spherical maximum of solutions of quasilinear elliptic inequalities containing lower-order derivatives is estimated in terms of solutions of the Cauchy problem for an ordinary differential equation with a right-hand side depending on the geometry of the domain.
Keywords: nonlinear elliptic operators, unbounded domains, capacity.
Funding agency Grant number
Russian Science Foundation 20-11-20272
This work was supported by the Russian Science Foundation, grant no. 20-11-20272.
Presented: V. V. Kozlov
Received: 08.07.2021
Revised: 08.07.2021
Accepted: 08.08.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 2, Pages 250–253
DOI: https://doi.org/10.1134/S1064562421050203
Bibliographic databases:
Document Type: Article
UDC: 517.956.2
Language: Russian
Citation: A. A. Kon'kov, “Comparison theorems for elliptic inequalities with lower-order derivatives that take into account the geometry of the domain”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021), 35–39; Dokl. Math., 104:2 (2021), 250–253
Citation in format AMSBIB
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