INEQUALITY OF KORN'S TYPE ON COMPACT SURFACES WITHOUT BOUNDARY

Citation:

S. MARDARE.INEQUALITY OF KORN'S TYPE ON COMPACT SURFACES WITHOUT BOUNDARY[J].Chinese Annals of Mathematics B,2003,24(2):191~204
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Authors:

S. MARDARE;
Abstract: Inequalities of Korn’s type on a surface with boundary have been proved in many papers using different techniques (see e.g. [4], [5] [11]). The author proves here an inequality of Korn’s type on a compact surface without boundary. The idea is to use a finite number of maps for defining the surface and the inequality of Korn’s type without boundary conditions for every map and to recast these in a general functional analysis setting about quotient spaces.

Keywords:

Inequality of Korn’s type, Compact surface, Sobolev space

Classification:

35Q51
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