We consider the singularly perturbed problem Fε(u, Ω) : = ∫ Ωε| ∇ 2u| 2+ ε- 1| 1 - | ∇ u| 2| 2 on bounded domains Ω ⊂ R2. Under appropriate boundary conditions, we prove that if Ω is an ellipse, then the minimizers of Fε(· , Ω) converge to the viscosity solution of the eikonal equation | ∇ u| = 1 as ε→ 0
This thesis concerns the study of some singular elliptic problems. In these problems the singularity...
Generalized minimizers for singular p-Laplacian 2 Let Ω be a domain in RN (possibly unbounded), N ≥ ...
In [Progress Math. 233 (2005)], David suggested the existence of a new type of global minimizers for...
For an elliptic, semilinear differential operator of the form S(u) = A : D2u + b(x, u, Du), consider...
We examine the singularly perturbed variational problem E \u3b5(\u3c8) = 2b \u3b5 -1(1 - | 07\u3c8|...
We first study the minimizers, in the class of convex functions, of an elliptic functional with nonh...
International audienceIn [8], G. David suggested a new type of global minimizer for the Mumford-Shah...
AbstractLet Ω be a bounded, open subset of Rn. A class of problems in optimal control theory is cons...
International audienceWe prove the existence of minimizers for functionals defined over the class of...
We consider the functional J(v) = integral Omega [f(vertical bar del v vertical bar) - v]dx, where...
In this paper we are concerned with singularly perturbed variational problems involving the curl fun...
We consider the viscosity solution of a homogeneous Dirichlet problem for the eikonal equation in a ...
We prove existence and regularity of optimal shapes for the problem min{P(Ω)+G(Ω): Ω⊂D, |Ω|=m}, wh...
We define viscosity solutions of the Aronsson equation arising from Hamilton-Jacobi eikonal equation...
In this paper the first and second domain variation for functionals related to elliptic boundary and...
This thesis concerns the study of some singular elliptic problems. In these problems the singularity...
Generalized minimizers for singular p-Laplacian 2 Let Ω be a domain in RN (possibly unbounded), N ≥ ...
In [Progress Math. 233 (2005)], David suggested the existence of a new type of global minimizers for...
For an elliptic, semilinear differential operator of the form S(u) = A : D2u + b(x, u, Du), consider...
We examine the singularly perturbed variational problem E \u3b5(\u3c8) = 2b \u3b5 -1(1 - | 07\u3c8|...
We first study the minimizers, in the class of convex functions, of an elliptic functional with nonh...
International audienceIn [8], G. David suggested a new type of global minimizer for the Mumford-Shah...
AbstractLet Ω be a bounded, open subset of Rn. A class of problems in optimal control theory is cons...
International audienceWe prove the existence of minimizers for functionals defined over the class of...
We consider the functional J(v) = integral Omega [f(vertical bar del v vertical bar) - v]dx, where...
In this paper we are concerned with singularly perturbed variational problems involving the curl fun...
We consider the viscosity solution of a homogeneous Dirichlet problem for the eikonal equation in a ...
We prove existence and regularity of optimal shapes for the problem min{P(Ω)+G(Ω): Ω⊂D, |Ω|=m}, wh...
We define viscosity solutions of the Aronsson equation arising from Hamilton-Jacobi eikonal equation...
In this paper the first and second domain variation for functionals related to elliptic boundary and...
This thesis concerns the study of some singular elliptic problems. In these problems the singularity...
Generalized minimizers for singular p-Laplacian 2 Let Ω be a domain in RN (possibly unbounded), N ≥ ...
In [Progress Math. 233 (2005)], David suggested the existence of a new type of global minimizers for...
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