Abstract
We establish estimates (interior and up to the boundary) of solutions of the inequality \(\mathscr {L}(u)\geq 0\), where \(\mathscr {L} \) is a linear second-order differential operator with impulse singularities. The results in particular apply to the Neumann boundary value problem. The relationship between this inequality and the class of concave functions of one variable is studied.
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Translated by V. Potapchouck
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Klimov, V.S. Estimates of Solutions of Differential Inequalities with Impulse Singularities. Diff Equat 57, 273–283 (2021). https://doi.org/10.1134/S0012266121030010
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DOI: https://doi.org/10.1134/S0012266121030010