On Korn inequalities for frame type structures and junctions. (English. Abridged French version) Zbl 0937.35502

Summary: The Korn inequalities are proved for domains depending on parameters. The depencence of constants in Korn’s inequality on parameters is specified. These inequalities can be used for homogenization problems in elasticity for structures like towers, cranes, frames, networks, lattices, junctions, and so on.


35B45 A priori estimates in context of PDEs
26D10 Inequalities involving derivatives and differential and integral operators