Geodesic
On Weighted Korn's Inequality for a~Thin Nonsymmetric Plate
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 347-353

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A weighted Korn's inequality is proved for a thin plate with a rough surface. The dependence of the coefficients in this inequality on a small parameter characterizing the thickness of the plate and the size of the microinhomogeneity of the surface is traced. 
@article{TM_2002_236_a36,
     author = {G. A. Chechkin and E. A. Pichugina (Akimova)},
     title = {On {Weighted} {Korn's} {Inequality} for {a~Thin} {Nonsymmetric} {Plate}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {347--353},
     publisher = {mathdoc},
     volume = {236},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2002_236_a36/}
}
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G. A. Chechkin; E. A. Pichugina (Akimova). On Weighted Korn's Inequality for a~Thin Nonsymmetric Plate. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 347-353. http://geodesic.mathdoc.fr/item/TM_2002_236_a36/