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Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma
Daniel Spector, Jean Van Schaftingen
We prove a family of Sobolev inequalities of the form where $A (D) : C^\i…
An Optimal Sobolev Embedding for
Daniel Spector
In this paper we establish an optimal Lorentz space estimate for the Riesz potential acting on curl-free vectors: There is a constant such that \[ \|I_αF \|_{L^{d/(d-α…
Best constants for two families of higher order critical Sobolev embeddings
Itai Shafrir, Daniel Spector
In this paper we obtain the best constants in some higher order Sobolev inequalities in the critical exponent. These inequalities can be separated into two types: those that embed…
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…