On the separation property of nonlinear second-order differential operators with matrix coefficients in weighted spaces
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Spectral theory, Tome 141 (2017), pp. 79-85.

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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
Mots-clés : matrix coefficient.
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     author = {O. Kh. Karimov},
     title = {On the separation property of nonlinear second-order differential operators with matrix coefficients in weighted spaces},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {79--85},
     publisher = {mathdoc},
     volume = {141},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_141_a5/}
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O. Kh. Karimov. On the separation property of nonlinear second-order differential operators with matrix coefficients in weighted spaces. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Spectral theory, Tome 141 (2017), pp. 79-85. http://geodesic.mathdoc.fr/item/INTO_2017_141_a5/