Edge asymptotics on a skew cylinder: complex variable form
Effet régularisant microlocal analytique pour l’équation de Schrödinger
Effet régularisant pour les solutions de l’équation de Schrödinger dans un domaine extérieur
Eigencurves for a Steklov problem.
Eigenvalue questions on some quasilinear elliptic problems
Elastic membrane equation in bounded and unbounded domains.
Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis
In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class for all and, as a consequence, the Hölder regularity of the solution . is an elliptic second order operator with discontinuous coefficients and the lower order terms belong to suitable Lebesgue spaces.
Elliptic equations in weighted Sobolev spaces on unbounded domains.
Elliptic problems with integral diffusion
In this paper, we review several recent results dealing with elliptic equations with non local diffusion. More precisely, we investigate several problems involving the fractional laplacian. Finally, we present a conformally covariant operator and the associated singular and regular Yamabe problem.
Elliptic regularity and essential self-adjointness of Dirichlet operators on
Entire Solutions of a Class of Even Order Quasilinear Elliptic Equations.
Entire solutions to a class of fully nonlinear elliptic equations
We study nonlinear elliptic equations of the form where the main assumption on and is that there exists a one dimensional solution which solves the equation in all the directions . We show that entire monotone solutions are one dimensional if their level set is assumed to be Lipschitz, flat or bounded from one side by a hyperplane.
Erweiterung eines Satzes von Serrin über die Gleichungen von Navier-Stokes.
Estimate of the Hausdorff measure of the singular set of a solution for a semi-linear elliptic equation associated with superconductivity
We study the boundedness of the Hausdorff measure of the singular set of any solution for a semi-linear elliptic equation in general dimensional Euclidean space . In our previous paper, we have clarified the structures of the nodal set and singular set of a solution for the semi-linear elliptic equation. In particular, we showed that the singular set is -rectifiable. In this paper, we shall show that under some additive smoothness assumptions, the -dimensional Hausdorff measure of singular set...
Estimates for critical groups of solutions to quasilinear elliptic systems.
Estimates for Evolutionary Surfaces of Prescribed Mean Curvature.
Estimates near the boundary for solutions of second order parabolic equations.
Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in
We consider a class of perturbations of the degenerate Ornstein-Uhlenbeck operator in . Using a revised version of Bernstein’s method we provide several uniform estimates for the semigroup associated with the realization of the operator in the space of all the bounded and continuous functions in
Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain
A-priori estimates in weighted Hölder norms are obtained for the solutions of a one- dimensional boundary value problem for the heat equation in a domain degenerating at time t = 0 and with boundary data involving simultaneously the first order time derivative and the spatial gradient.
Estimations C1 pour des problèmes paraboliques semi-linéaires