Add to ORKGInternational audienceThe goal of this paper is to study some possibly degenerate elliptic equation in a bounded domain with a nonlinear boundary condition involving measure data. We investigate two types of problems: the first one deals with the laplacian in a bounded domain with measure supported on the domain and on the boundary. A second one deals with the same type of data but involves a degenerate weight in the equation. In both cases, the nonlinearity under consideration lies on the boundary. For the first problem, we prove an optimal regularity result, whereas for the second one the optimality is not guaranteed but we provide however regularity estimates
We consider a class of nonlinear elliptic systems and we prove regularity up to the boundary for sec...
AbstractGlobal weighted Lp estimates are obtained for the gradient of solutions to nonlinear ellipti...
By constructing appropriate smooth, possibly non-convex supersolutions, we establish sharp lower bou...
International audienceThe goal of this paper is to study some possibly degenerate elliptic equation ...
summary:In this paper we prove existence results for some nonlinear degenerate elliptic equations wi...
AbstractThis article concerns optimal estimates for nonhomogeneous degenerate elliptic equation with...
Abstract We study existence and regularity of the solutions for some anisotropic ell...
In this paper, we give an intermediate regularity result on a degenerate elliptic equation with a w...
Contient un Appendice d'A. Ancona intitulé A necessary condition for the fine regularity of a bounda...
Given $\Omega(\subseteq\;R^{1+m})$, a smooth bounded domain and a nonnegative measurable function $f...
We study the boundary value problem with Radon measures for nonnegative solutions of $-\Delta u+Vu=0...
summary:The paper is devoted to the estimate \vert u(x,k)\vert\leq K\vert k\vert\left\{\mathop cap\n...
We study elliptic and parabolic problems governed by the singular elliptic operators \begin{align*} ...
We show optimal Lipschitz regularity for very weak solutions of the (measure-valued) elliptic PDE $-...
summary:In this paper we are interested in the existence and uniqueness of solutions for the Navier ...
We consider a class of nonlinear elliptic systems and we prove regularity up to the boundary for sec...
AbstractGlobal weighted Lp estimates are obtained for the gradient of solutions to nonlinear ellipti...
By constructing appropriate smooth, possibly non-convex supersolutions, we establish sharp lower bou...
International audienceThe goal of this paper is to study some possibly degenerate elliptic equation ...
summary:In this paper we prove existence results for some nonlinear degenerate elliptic equations wi...
AbstractThis article concerns optimal estimates for nonhomogeneous degenerate elliptic equation with...
Abstract We study existence and regularity of the solutions for some anisotropic ell...
In this paper, we give an intermediate regularity result on a degenerate elliptic equation with a w...
Contient un Appendice d'A. Ancona intitulé A necessary condition for the fine regularity of a bounda...
Given $\Omega(\subseteq\;R^{1+m})$, a smooth bounded domain and a nonnegative measurable function $f...
We study the boundary value problem with Radon measures for nonnegative solutions of $-\Delta u+Vu=0...
summary:The paper is devoted to the estimate \vert u(x,k)\vert\leq K\vert k\vert\left\{\mathop cap\n...
We study elliptic and parabolic problems governed by the singular elliptic operators \begin{align*} ...
We show optimal Lipschitz regularity for very weak solutions of the (measure-valued) elliptic PDE $-...
summary:In this paper we are interested in the existence and uniqueness of solutions for the Navier ...
We consider a class of nonlinear elliptic systems and we prove regularity up to the boundary for sec...
AbstractGlobal weighted Lp estimates are obtained for the gradient of solutions to nonlinear ellipti...
By constructing appropriate smooth, possibly non-convex supersolutions, we establish sharp lower bou...