We coat a conductor with an insulator and equate the eeectiveness of this procedure with the rate at which the body dissipates heat when immersed in an ice{ bath. In the limit, as the thickness andâ€¦ (More)

In this lecture I report on essentially two results for overdetermined boundary value problems and the p-Laplace operator. The first one is joint work with H. Shahgholian on Bernoulli type freeâ€¦ (More)

The first problem on sum-distinct sets was stated by Paul ErdiSs in 1932. Since then there have been quite a number of related papers and problems. (See [1 and [2] for general background.) Problemâ€¦ (More)

We coat a conductor with an insulator and equate the effectiveness of this procedure with the rate at which the body dissipates heat when immersed in an ice bath. In the limit, as the thickness andâ€¦ (More)

In a recent paper W. A. Day proved a decay property for solutions to a linear parabolic equation with nonlocal boundary conditions. Such boundary conditions arise in thermoelasticity. We extend hisâ€¦ (More)

Abstract. We study the differential operator L = âˆ‚ 4 âˆ‚x4 + âˆ‚ 4 âˆ‚y4 and investigate positivity preserving properties in the sense that f â‰¥ 0 implies that solutions u of Lu âˆ’ Î»u = f are nonnegative.â€¦ (More)

We show existence and uniqueness for global weak solutions of a moving boun dary problem for a coupled system of three quasi linear di usion reaction equa tions The model is brie y described Theâ€¦ (More)