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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2023 Volume 69, Issue 1, Pages 62–72 (Mi cmfd488)

Absence of positive solutions of some nonlinear inequalities with transformations of the argument in a half-space

E. I. Galakhova, O. A. Salievab

a RUDN University, Moscow, Russia
b Moscow State Technological University “Stankin,” Moscow, Russia

Abstract: We prove the absence of positive solutions for some semilinear elliptic partial differential inequalities with transformations of the argument in a half-space. The proofs are based on the test functions method.

Keywords: nonlinear elliptic inequalities, transformations of arguments, absence of solutions, positive solutions, monotonic solutions.

UDC: 517.956.25

DOI: 10.22363/2413-3639-2023-69-1-62-72



© Steklov Math. Inst. of RAS, 2025