Three solutions of a quasilinear elliptic problem near resonance
Threshold scattering in two dimensions
Time Decay for Some Schrödinger Equations.
Time decay of finite energy solutions of the non linear Klein-Gordon and Schrödinger equations
Time Dependent Nonlinear Schrödinger Equations.
Time-decay of scattering solutions and classical trajectories
Time-dependent approach to radiation conditions
Time-dependent Scattering Theory.
To a nonlocal generalization of the Dirichlet problem.
To the inversion of Gårding theorem
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...
Topological degree and existence of an infinite number of solutions of a boundary value problem for a singular equation. (Degré topologique et existence d'une infinité de solutions d'un problème aux limites pour une équation singulière.)
Topological degree, Jacobian determinants and relaxation
A characterization of the total variation of the Jacobian determinant is obtained for some classes of functions outside the traditional regularity space . In particular, explicit formulas are deduced for functions that are locally Lipschitz continuous away from a given one point singularity . Relations between and the distributional determinant are established, and an integral representation is obtained for the relaxed energy of certain polyconvex functionals at maps .
Topological optimization with the -Laplacian operator and an application in image processing.
Topological sectors for Ginzburg-Landau energies.
Topological sensitivity analysis for elliptic problems on graphs
Topological tools for the prescribed scalar curvature problem on S n
In this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere S n, n ≥ 3. We give new existence and multiplicity results based on a new Euler-Hopf formula type. Our argument also has the advantage of extending well known results due to Y. Li [16].
Topology optimization of systems governed by variational inequalities
This paper deals with the formulation of the necessary optimality condition for a topology optimization problem of an elastic body in unilateral contact with a rigid foundation. In the contact problem of Tresca, a given friction is governed by an elliptic variational inequality of the second order. The optimization problem consists in finding such topology of the domain occupied by the body that the normal contact stress along the contact boundary of the body is minimized. The topological derivative...
Total Flux Estimates for a Finite Element Approximation of the Dirichlet Problem Using the Boundary Penalty Method.