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- J. J. Bevan
- 2008

We extend the result [11] of Phillips by showing that one-homogeneous solutions of certain elliptic systems in divergence form either do not exist or must be affine. The result is novel in two ways. Firstly, the system is allowed to depend (in a sufficiently smooth way) on the spatial variable x. Secondly, Phillips's original result is shown to apply to W… (More)

- M. L. Smith, I. Fogelman, D. M. Hart, E. Scott, J. Bevan, I. Leggate
- Calcified Tissue International
- 1989

A longitudinal study was performed to document the effect of surgical menopause and postmenopausal etidronate disodium therapy on several nonhistomorphometric indices of bone turnover. Twenty healthy, premenopausal women undergoing oophorectomy for nonmalignant conditions were studied preoperatively and at 3 monthly intervals postoperatively. Sequential… (More)

- M. Gunness-Hey, Dr. J. M. Hock, +4 authors L. G. Raisz
- Calcified Tissue International
- 1986

We have reported recently that pharmacologic doses of 1,25 dihydroxyvitamin D3 (1,25(OH)2D3) stimulated bone matrix formation but impaired mineralization. The objective of this study was to determine if parathyroid hormone (hPTH 1-34) or calcitonin (sCT) would mineralize the osteoid induced by 1,25(OH)2D3 in rat long bones. In one experiment, male… (More)

For a class of 2-D elastic energies we show that a radial equilibrium solution is the unique global minimizer in a subclass of all admissible maps. The boundary constraint is a double cover of S 1 ; the minimizer u is C 1 and is such that det ∇u vanishes at one point.

- J. J. Bevan
- SIAM J. Math. Analysis
- 2011

A family of integral functionals F which model in a simplified way material mi-crostructure occupying a two-dimensional domain Ω and which take account of surface energy and a variable well depth is studied. It is shown that there is a critical well depth, whose scaling with the surface energy density and domain dimensions is given, below which the state u… (More)

We prove that any C 1 weak local minimizer of a certain class of elastic stored-energy functionals I(u) = Ω f (∇u) dx subject to a linear boundary displacement u 0 (x) = ξx on a star-shaped domain Ω with C 1 boundary is necessarily affine provided f is strictly quasiconvex at ξ. This is done without assuming that the local minimizer satisfies the… (More)

- J. Bevan
- 2015

We give examples of systems of Partial Differential Equations that admit non-trivial, Lipschitz and one-homogeneous solutions in the form u(R, θ) = Rg(θ), where (R, θ) are plane polar coordinates and g takes values in R m , m ≥ 2. The systems are singular in the sense that they arise as the Euler

- J J Bevan
- 2008

A family of integral functionals F which, in a simplified way, model material microstructure occupying a two-dimensional domain Ω and which take account of surface energy and a variable well-depth is studied. It is shown that there is a critical well-depth, whose scaling with the surface energy density and domain dimensions is given, below which the state u… (More)

- Jonathan Bevan
- London journal of primary care
- 2009

- J. Bevan
- 2014

We study the integral functional I(w) :=