AbstractLet Ω be a bounded simply connected domain in Rn with connected boundary of class C2. We show that, if there exist n functions satisfying some overdetermined system with boundary conditions involving mean curvature of ∂Ω, then Ω is a ball. The proof is based on the maximum principle and Serrin’s theorem
We consider the p-Laplacian equation -Delta(p)u = 1 for 1 < p < 2, on a regular bounded domain...
International audienceWe study necessary conditions on the geometry and the topology of domains in $...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
AbstractLet Ω be a bounded simply connected domain in Rn with connected boundary of class C2. We sho...
AbstractLet Ω⊂Rn be a bounded connected open set with connected real analytic boundary. We show that...
Artículo de publicación ISIFor all N >= 9, we find smooth entire epigraphs in R-N, namely, smooth do...
AbstractWe consider several overdetermined boundary value problems for the biharmonic operator and d...
For n an open domain contained in a Riemannian manifold M, various researchers have considered the ...
In this note we give a characterization of balls in $mathbb{R}^N$ using the domain derivative. As a ...
Let (M, g) be a Riemannian manifold with a distinguished point O and assume that the geodesic distan...
In 1971, Serrin proved that the only bounded domain for which the overdetermined problem ∆u + f (u)...
International audienceWe consider overdetermined boundary value problems for elliptic systems. Using...
Given a smooth simply connected planar domain, the area is bounded away from zero in terms of the ma...
In this thesis, we consider the problem of existence of conformal scalar flat metric with prescribed...
Abstract. In this note we give a characterization of balls in RN using the do-main derivative. As a ...
We consider the p-Laplacian equation -Delta(p)u = 1 for 1 < p < 2, on a regular bounded domain...
International audienceWe study necessary conditions on the geometry and the topology of domains in $...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
AbstractLet Ω be a bounded simply connected domain in Rn with connected boundary of class C2. We sho...
AbstractLet Ω⊂Rn be a bounded connected open set with connected real analytic boundary. We show that...
Artículo de publicación ISIFor all N >= 9, we find smooth entire epigraphs in R-N, namely, smooth do...
AbstractWe consider several overdetermined boundary value problems for the biharmonic operator and d...
For n an open domain contained in a Riemannian manifold M, various researchers have considered the ...
In this note we give a characterization of balls in $mathbb{R}^N$ using the domain derivative. As a ...
Let (M, g) be a Riemannian manifold with a distinguished point O and assume that the geodesic distan...
In 1971, Serrin proved that the only bounded domain for which the overdetermined problem ∆u + f (u)...
International audienceWe consider overdetermined boundary value problems for elliptic systems. Using...
Given a smooth simply connected planar domain, the area is bounded away from zero in terms of the ma...
In this thesis, we consider the problem of existence of conformal scalar flat metric with prescribed...
Abstract. In this note we give a characterization of balls in RN using the do-main derivative. As a ...
We consider the p-Laplacian equation -Delta(p)u = 1 for 1 < p < 2, on a regular bounded domain...
International audienceWe study necessary conditions on the geometry and the topology of domains in $...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
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