Geodesic
A priori estimate of solutions of one boundary-value problem in a strip for a higher-order degenerate elliptic equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 4, Tome 173 (2019), pp. 116-125

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Coercive a priori estimates of solutions of a Dirichlet-type boundary-value problem in a strip for a certain higher-order degenerate elliptic equation containing weighted derivatives of a special form up to the order $2m$ and ordinary partial derivatives up to the order $2k-1$ under the condition $2m>2k-1$ are proved. At the boundary of the strip, Dirichlet-type conditions are imposed. A coercive a priori estimate for solutions of the problem considered in special weighted Sobolev-type spaces is obtained.
Keywords: a priori estimate, degenerate elliptic equation, Sobolev weight space. 
@article{INTO_2019_173_a8,
     author = {V. V. Pankov and A. D. Baev and V. D. Kharchenko and A. A. Babaitsev},
     title = {A priori estimate of solutions of one boundary-value problem in a strip for a higher-order degenerate elliptic equation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {116--125},
     publisher = {mathdoc},
     volume = {173},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_173_a8/}
}
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V. V. Pankov; A. D. Baev; V. D. Kharchenko; A. A. Babaitsev. A priori estimate of solutions of one boundary-value problem in a strip for a higher-order degenerate elliptic equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 4, Tome 173 (2019), pp. 116-125. http://geodesic.mathdoc.fr/item/INTO_2019_173_a8/