We prove that the linear term and quadratic nonlinear term entering a nonlinear elliptic equation of divergence type can be uniquely identified by the Dirichlet to Neuman map. The unique identifiability is proved using the complex geometrical optics solutions and singular solutions. Mathematics subject classification (MSC2000): 35R30

A precise understanding of the crystal properties of bone and other calcifications is essential in defining pathological and physiological mineralization. Bone mineral is predominately calcium and orthophosphate, but contains about 6 per cent carbonate. The physical state of carbonate in bone has been controversial but has attracted considerable interest since carbonate probably influences bone...

In the article, we prove that the double inequality [Formula: see text] holds for [Formula: see text] with [Formula: see text] if and only if [Formula: see text] and [Formula: see text], where [Formula: see text], [Formula: see text] and [Formula: see text] denote the Neuman-Sándor, logarithmic and second Seiffert means of two positive numbers a and b, respectively.

-1Single-Molecule Measurement of the Preferred DNA Crossing Angle for Topoisomerase IV K. C. Neuman*, G. Charvin, D. Bensimon and V. Croquette Laboratoire de Physique Statistique, Ecole Normale Supérieure, 75005 Paris, France *Present address: National Heart, Lung, and Blood Institute, National Institutes of Health, Bethesda, MD 20892, USA. [email protected] Present address: The Rockefeller...

It is shown that the non-homogeneous Dirichlet and Neuman problems for the 2-order Seiberg-Witten equation admit a regular solution once the H-condition 3.1.1 is satisfied. The approach consist in applying the elliptic techniques to the variational setting of the Seiberg-Witten equation.