Add to ORKGAbstract. The paper deals with the Robin function and eigenvalue prob-lems generated by the Robin operator. First we show that Green’s function of an n-fold connected domain is the Robin function of an appropriate sim-ply connected domain. The main part of the paper deals with eigenvalue problems for the Robin operator: the mixed Stekloff eigenvalue problem and the membrane problem with mixed boundary conditions. Isoperimetric in-equalities are proved for the sum of reciprocal eigenvalues
International audienceWe give a simple proof of the Faber-Krahn inequality for the first eigenvalue ...
International audienceWe give a simple proof of the Faber-Krahn inequality for the first eigenvalue ...
Abstract. We study domain monotonicity of the principal eigenvalue λΩ1 (α) corresponding to ∆u = λ(α...
The Robin function of a planar domain is a generalization of Green's function. It can be used t...
summary:We consider the Robin eigenvalue problem $\Delta u+\lambda u=0$ in $\Omega $, ${\partial u}/...
summary:We consider the Robin eigenvalue problem $\Delta u+\lambda u=0$ in $\Omega $, ${\partial u}/...
International audienceThis paper is devoted to the determination of the cases where there is equalit...
In this paper the first and second domain variation for functionals related to elliptic boundary and...
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 Augu...
Abstract. We consider the problem of minimising the kth eigen-value, k ≥ 2, of the (p-)Laplacian wit...
A mixed boundary value problem with the linear combination of Dirichlet and Neumann conditions is ca...
Lamé’s formulas for the eigenvalues and eigenfunctions of the Laplacian on an equilateral triangle u...
In this talk we will consider the $p$-Laplace operator with Robin boundary conditions on Euclidean...
Lamé’s formulas for the eigenvalues and eigenfunctions of the Laplacian on an equilateral triangle u...
International audienceWe give a simple proof of the Faber-Krahn inequality for the first eigenvalue ...
International audienceWe give a simple proof of the Faber-Krahn inequality for the first eigenvalue ...
International audienceWe give a simple proof of the Faber-Krahn inequality for the first eigenvalue ...
Abstract. We study domain monotonicity of the principal eigenvalue λΩ1 (α) corresponding to ∆u = λ(α...
The Robin function of a planar domain is a generalization of Green's function. It can be used t...
summary:We consider the Robin eigenvalue problem $\Delta u+\lambda u=0$ in $\Omega $, ${\partial u}/...
summary:We consider the Robin eigenvalue problem $\Delta u+\lambda u=0$ in $\Omega $, ${\partial u}/...
International audienceThis paper is devoted to the determination of the cases where there is equalit...
In this paper the first and second domain variation for functionals related to elliptic boundary and...
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 Augu...
Abstract. We consider the problem of minimising the kth eigen-value, k ≥ 2, of the (p-)Laplacian wit...
A mixed boundary value problem with the linear combination of Dirichlet and Neumann conditions is ca...
Lamé’s formulas for the eigenvalues and eigenfunctions of the Laplacian on an equilateral triangle u...
In this talk we will consider the $p$-Laplace operator with Robin boundary conditions on Euclidean...
Lamé’s formulas for the eigenvalues and eigenfunctions of the Laplacian on an equilateral triangle u...
International audienceWe give a simple proof of the Faber-Krahn inequality for the first eigenvalue ...
International audienceWe give a simple proof of the Faber-Krahn inequality for the first eigenvalue ...
International audienceWe give a simple proof of the Faber-Krahn inequality for the first eigenvalue ...
Abstract. We study domain monotonicity of the principal eigenvalue λΩ1 (α) corresponding to ∆u = λ(α...