International audienceWe consider the following overdetermined boundary value problem: Δ u + λ u + μ = 0 in Ω, u = 0 on ∂Ω and ∂u/∂n = c on ∂Ω, where c ≠ 0, λ and μ are real constants and Ω ⊂ ℝ2 is a smooth bounded convex open set. We fi rst show that it may happen that the problem has no solution. Then we study the existence of solutions for a wide class of domains
International audienceWe consider the following overdetermined boundary value problem: $\Delta u = -...
International audienceWe consider overdetermined boundary value problems for elliptic systems. Using...
Accepted in Communication on Pure and Applied MathematicsInternational audienceLet f : [0, +∞) → R b...
In this paper we construct nontrivial exterior domains Ω ⊂ R N , for all N ≥ 2, such that the proble...
In this paper we construct nontrivial exterior domains Ω ⊂ R N , for all N ≥ 2, such that the proble...
Abstract. We consider some elliptic pde’s with Dirichlet and Neumann data prescribed on some por-tio...
Abstract. We consider some elliptic pde’s with Dirichlet and Neumann data prescribed on some por-tio...
Abstract: We consider overdetermined boundary value problems for the ∞-Laplacian in a domain Ω of Rn...
We consider some elliptic pde's with Dirichlet and Neumann data prescribed on some portion of the bo...
For n an open domain contained in a Riemannian manifold M, various researchers have considered the ...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
International audienceWe consider the following overdetermined boundary value problem: $\Delta u = -...
International audienceWe consider overdetermined boundary value problems for elliptic systems. Using...
Accepted in Communication on Pure and Applied MathematicsInternational audienceLet f : [0, +∞) → R b...
In this paper we construct nontrivial exterior domains Ω ⊂ R N , for all N ≥ 2, such that the proble...
In this paper we construct nontrivial exterior domains Ω ⊂ R N , for all N ≥ 2, such that the proble...
Abstract. We consider some elliptic pde’s with Dirichlet and Neumann data prescribed on some por-tio...
Abstract. We consider some elliptic pde’s with Dirichlet and Neumann data prescribed on some por-tio...
Abstract: We consider overdetermined boundary value problems for the ∞-Laplacian in a domain Ω of Rn...
We consider some elliptic pde's with Dirichlet and Neumann data prescribed on some portion of the bo...
For n an open domain contained in a Riemannian manifold M, various researchers have considered the ...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
We consider semilinear elliptic Dirichlet problems in bounded domains, overdetermined with a Neumann...
International audienceWe consider the following overdetermined boundary value problem: $\Delta u = -...
International audienceWe consider overdetermined boundary value problems for elliptic systems. Using...
Accepted in Communication on Pure and Applied MathematicsInternational audienceLet f : [0, +∞) → R b...