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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017 Volume 141, Pages 79–85 (Mi into244)
This article is cited in 1 paper

On the separation property of nonlinear second-order differential operators with matrix coefficients in weighted spaces

O. Kh. Karimov

Institute of Mathematics, Academy of Sciences of Republic of Tajikistan, Dushanbe

Abstract: We prove the separation property for a certain class of nonlinear second-order differential operators with variable matrix coefficients in weighted spaces, that, in general, are not weak perturbations of linear operators.

Keywords: weighted space, nonlinear differential operator, separation property, coercive inequality, matrix coefficient.

UDC: 517.948

MSC: 35Q40, 35J10


 English version: Journal of Mathematical Sciences (New York), 2019, 241:5, 589–595

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© Steklov Math. Inst. of RAS, 2025