Add to ORKGWe study a class of elliptic operators L that degenerate at the boundary of a bounded open set O ⊂ Rd and possess a symmetrizing invariant measure µ. Such operators are associated with diffusion processes in O which are invariant for time reversal. After showing that the corresponding elliptic equation λϕ − Lϕ = f has a unique weak solution for any λ> 0 and f ∈ L2(O, µ), we obtain new results for the characterization of the domain of L
We consider a nonlinear (possibly) degenerate elliptic operator Lv = -diva(Delta v) + b(x, v) where ...
International audienceThis article is chiefly concerned with elliptic regularizations of semilinear ...
We show that elliptic second order operators $A$ of divergence type fulfill maximal parabolic regula...
We study a class of elliptic operators $L$ that degenerate at the boundary of a bounded open set $O...
We prove Hölder regularity of the gradient, up to the boundary for solutions of some fully-nonlinear...
We consider an elliptic Kolmogorov equation \u3bbu - Ku = f in a separable Hilbert space H. The Kolm...
In view of the applications in the study of regularity properties of minimizers for a continuous mod...
Abstract. We prove weak and strong maximum principles, including a Hopf lemma, for C2 subsolutions t...
Abstract. We develop new solvability methods for divergence form second order, real and complex, ell...
Abstract. We study the self-adjoint and dissipative realization A of a second order elliptic differe...
We will study a new universal gradient continuity estimate for solutions to quasi-linear equations w...
AbstractIn this article, we use a Galerkin method to prove a maximal regularity result for the follo...
Abstract. We establish Schauder a priori estimates and regularity for solutions to a class of bounda...
We deal with existence and regularity for weak solutions to Dirichlet problems in a bounded domain ...
AbstractWe study elliptic operators L with Dirichlet boundary conditions on a bounded domain Ω whose...
We consider a nonlinear (possibly) degenerate elliptic operator Lv = -diva(Delta v) + b(x, v) where ...
International audienceThis article is chiefly concerned with elliptic regularizations of semilinear ...
We show that elliptic second order operators $A$ of divergence type fulfill maximal parabolic regula...
We study a class of elliptic operators $L$ that degenerate at the boundary of a bounded open set $O...
We prove Hölder regularity of the gradient, up to the boundary for solutions of some fully-nonlinear...
We consider an elliptic Kolmogorov equation \u3bbu - Ku = f in a separable Hilbert space H. The Kolm...
In view of the applications in the study of regularity properties of minimizers for a continuous mod...
Abstract. We prove weak and strong maximum principles, including a Hopf lemma, for C2 subsolutions t...
Abstract. We develop new solvability methods for divergence form second order, real and complex, ell...
Abstract. We study the self-adjoint and dissipative realization A of a second order elliptic differe...
We will study a new universal gradient continuity estimate for solutions to quasi-linear equations w...
AbstractIn this article, we use a Galerkin method to prove a maximal regularity result for the follo...
Abstract. We establish Schauder a priori estimates and regularity for solutions to a class of bounda...
We deal with existence and regularity for weak solutions to Dirichlet problems in a bounded domain ...
AbstractWe study elliptic operators L with Dirichlet boundary conditions on a bounded domain Ω whose...
We consider a nonlinear (possibly) degenerate elliptic operator Lv = -diva(Delta v) + b(x, v) where ...
International audienceThis article is chiefly concerned with elliptic regularizations of semilinear ...
We show that elliptic second order operators $A$ of divergence type fulfill maximal parabolic regula...