It is generally accepted that once an individual manifests an allergic state by responding locally to the intracutaneous administration of tuberculin (O. T.) this response may be elicited indefinitely. A positive tuberculin reaction, moreover, has been interpreted universally as indicating the presence of infection with the tubercle bacillus, if not actually infectious disease capable of clinic...

In this paper we study a classical optimization problem in heat conduction, which may briefly be described as follows: given a surface ∂D in R, and a positive function φ defined on it (the temperature distribution), we want to surround ∂D with a prescribed volume of insulating material so as to minimize the loss of heat in a stationary situation. Mathematically speaking, we want to find a funct...

Two cases of trilateral retinoblastoma (a syndrome of midline, undifferentiated, intracranial tumor in a child with hereditary, bilateral ocular retinoblastoma) are described, one with a unique location of the intracranial tumor, and the other with an unusual temporal course of disease.

where C is some constant depending only on (M, g), and k. He also announced in the same paper the same result for general manifolds, without the locally conformally flat assumption. The proof of this claim has not been made available. For general manifolds of dimension n = 3, a proof was given by Li and Zhu in [73]; while for n = 4, a combination of the results of Li and Zhang [70] and Druet [4...

In this paper, we establish the existence results for second order singular Dirichlet problems via variational methods. Some recent results are extended and improved. Examples are also given to illustrate the new results.

In the present paper the definition of invexity for continuous functions is extended to invexity of order m which is further generalized to ρ-pseudoinvexity type I of order m, ρ-pseudoinvexity type II of order m, as well as ρ-quasi invexity type I of order m and ρ-quasiinvexity type II of order m. The central objective of the paper is to study variational problem where the functionals involved ...