CLR-estimate revisited : Lieb's approach with non path integrals
Codazzi tensors and equations of Monge-Ampère type on compact manifolds of constant sectional curvature.
Coefficients des singularités pour des problèmes aux limites elliptiques sur un domaine à points coniques. I : Résultats généraux pour le problème de Dirichlet
Coefficients des singularités pour des problèmes aux limites elliptiques sur un domaine à points coniques. II : Quelques opérateurs particuliers
Coefficients of singularities of the biharmonic problem of Neumann type: case of the crack.
Coefficients of the singularities on domains with conical points
As a model for elliptic boundary value problems, we consider the Dirichlet problem for an elliptic operator. Solutions have singular expansions near the conical points of the domain. We give formulas for the coefficients in these expansions.
Coerciveness inequality for nonlocal boundary value problems for second order abstract elliptic differential equations.
Coexistence of singular and regular solutions for the equation of Chipot and Weissler.
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces
We consider linear elliptic problems with variable coefficients, which may sharply change values and have a complex behavior in the domain. For these problems, a new combined discretization-modeling strategy is suggested and studied. It uses a sequence of simplified models, approximating the original one with increasing accuracy. Boundary value problems generated by these simplified models are solved numerically, and the approximation and modeling errors are estimated by a posteriori estimates of...
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces
We consider linear elliptic problems with variable coefficients, which may sharply change values and have a complex behavior in the domain. For these problems, a new combined discretization-modeling strategy is suggested and studied. It uses a sequence of simplified models, approximating the original one with increasing accuracy. Boundary value problems generated by these simplified models are solved numerically, and the approximation and modeling errors are estimated by a posteriori estimates of...
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces
We consider linear elliptic problems with variable coefficients, which may sharply change values and have a complex behavior in the domain. For these problems, a new combined discretization-modeling strategy is suggested and studied. It uses a sequence of simplified models, approximating the original one with increasing accuracy. Boundary value problems generated by these simplified models are solved numerically, and the approximation and modeling errors are estimated by a posteriori estimates of...
Commutator Methods and a Smoothing Property of the Schrödinger Evolution Group.
Compact embedding of a degenerate Sobolev space and existence of entire solutions to a semilinear equation for a Grushin-type operator
Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems
Compacteness methods for certain degenerate elliptic systems.
Compactness and global estimates for the geometric Paneitz equation in high dimensions.
Compactness for a Schrödinger operator in the ground-state space over .
Compactness Method in the Finite Element Theory of Nonlinear Elliptic Problems.
Compactness of conformal metrics with positive gaussian curvature in
Compactness of support of solutions for some classes of nonlinear elliptic and parabolic systems.
In this paper, we obtain some existence theorems of nonnegative solutions with compact support for homogeneous Dirichlet elliptic problems; we also extend these results to parabolis systems.Supersolution and comparison principles are our main ingredients.