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math.AP2020
On Korn-Maxwell-Sobolev Inequalities
Franz Gmeineder, Daniel Spector
We establish a family of inequalities that allow one to estimate the -norm of a matrix-valued field by the -norm of an elliptic part and the $\mathr…
math.AP2020
Taylor's Theorem for Functionals on BMO with Application to BMO Local Minimizers
Daniel E. Spector, Scott J. Spector
In this note two results are established for energy functionals that are given by the integral of over with $\nab…
math.AP2020
BMO and Elasticity: Korn's Inequality; Local Uniqueness in Tension
Daniel E. Spector, Scott J. Spector
In this manuscript two estimates are obtained, one for Linear Elasticity and one for Nonlinear Elasticity. It is first shown that the -seminorm of the gradient of a vect…