Nečas–Lions lemma revisited: An Lp‐version of the generalized Korn inequality for incompatible tensor fields
Peter Lewintan, Patrizio Neff · Mathematical Methods in the Applied Sciences · 2021
For 1 0 such that holds for all tensor fields , that is, for all with vanishing tangential trace on ∂Ω where ν denotes the outward unit normal vector field to ∂Ω. For compatible , this recovers an Lp‐version of the classical Korn's first inequality and for skew‐symmetric an Lp‐version of the Poincaré inequality.