3 papers
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…
math.AP2018
Uniqueness of Equilibrium with Sufficiently Small Strains in Finite Elasticity
Daniel Spector, Scott J. Spector
The uniqueness of equilibrium for a compressible, hyperelastic body subject to dead-load boundary conditions is considered. It is shown, for both the displacement and mixed problem…