On the L^p-theory of Anisotropic singular perturbations of elliptic problems

In this article we give an extention of the L^2-theory of anisotropic singular perturbations for elliptic problems. We study a linear and some nonlinear problems involving L^p data (1<p<2). Convergences in pseudo Sobolev spaces are proved for weak and entropy solutions, and rate of convergence is given in cylindrical domainsComment: 23 pages, Some minor correction

W2,2 Interior convergence for some class of elliptic anisotropic singular perturbation problems

In this paper, we deal with anisotropic singular perturbations of some class of elliptic problem. We study the asymptotic behavior of the solution in certain second order pseudo Sobolev space.Comment: some changes: title, some additions.., the results and the arguments are still the sam

Internet Auctions: Description, Bidders' Profiles and Implications

The increasing quantity of items bough and sold over the internet led to the success of internet auctions, to the introduction of new auction rules and the creation of new businesses and merger among existing ones. In this paper, we present a description of existing internet auction rules and typical profile of consumers who use them. We found that bidders are most likely located in the U.S., have some internet experience and skills and that they belong to the 26-50 years old age group. We also discuss the implication of online auctions on resource allocation.Internet Auctions, Online Auctions

Further results for the Dunkl Transform and the generalized Ces\`aro operator

In this paper, we consider Dunkl theory on R^d associated to a finite reflection group. This theory generalizes classical Fourier anal- ysis. First, we give for 1 < p <= 2, sufficient conditions for weighted Lp-estimates of the Dunkl transform of a function f using respectively the modulus of continuity of f in the radial case and the convolution for f in the general case. In particular, we obtain as application, the integrability of this transform on Besov-Lipschitz spaces. Second, we provide necessary and sufficient conditions on nonnegative functions phi defined on [0; 1] to ensure the boundedness of the generalized Ces\`aro operator C_phi on Herz spaces and we obtain the corresponding operator norm inequalities.Comment: 19 page