Techniques biharmoniques pour l'étude du mouvement brownien de P. Lévy à trois paramètres
The existence of gaps in minimal foliations.
The Probabilistic Solution of the Dirichlet Problem for Degenerate Elliptic Equations
We study the Dirichlet problem for degenerate elliptic equations, and show that the probabilistic solution is a unique viscosity solution.
The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets
Topological asymptotic analysis of the Kirchhoff plate bending problem
The topological asymptotic analysis provides the sensitivity of a given shape functional with respect to an infinitesimal domain perturbation, like the insertion of holes, inclusions, cracks. In this work we present the calculation of the topological derivative for a class of shape functionals associated to the Kirchhoff plate bending problem, when a circular inclusion is introduced at an arbitrary point of the domain. According to the literature, the topological derivative has been fully developed...
Topological asymptotic analysis of the Kirchhoff plate bending problem
The topological asymptotic analysis provides the sensitivity of a given shape functional with respect to an infinitesimal domain perturbation, like the insertion of holes, inclusions, cracks. In this work we present the calculation of the topological derivative for a class of shape functionals associated to the Kirchhoff plate bending problem, when a circular inclusion is introduced at an arbitrary point of the domain. According to the literature, the topological derivative has been fully developed...