The early work of Zellner on the multivariate Student-t linear model has been extended to Bayesian inference for linear models with dependent non-normal error terms, particularly through various papers by Osiewalski, Steel ...

This work presents a study on the existence or not of a solution for the following elliptical problem with Sobolev’s critical exponent 8> ><>>: ����� u = u2 �����1 + f(x; u) in u > 0 in u = 0 on @ ; where ...

We prove that the only domain Ω such that there exists a solution to the following problem in Ω, on ∂Ω, and , for a given constant c, is the unit ball , if we assume that Ω lies in an appropriate class of Lipschitz domains.

In this paper we discuss calibration problems under dependent and independent elliptical family of distributions. In the dependent case, it is shown that the posterior distribution of the quantity of interest is robust ...

We consider an elliptic system with linear part depending on two parameters and a sublinear perturbation. We obtain the existence of at least two solutions when the linear part is near resonance. The system is associated ...

In this article, we study the approximate controllability and home-genization results of a semi-linear elliptic problem with Robin boundary condition in a periodically perforated domain. We prove the existence of minimal ...