We derive the equation of a free vibrating thin plate whose mass is concentrated at the boundary, namely a Steklov problem for the biharmonic operator. We provide Hadamard-type formulas for the shape derivatives of the corresponding eigenvalues and prove that balls are critical domains under volume constraint. Finally, we prove an isoperimetric inequality for the first positive eigenvalue
The least Steklov eigenvalue d1 for the biharmonic operator in bounded domains gives a bou...
We study the spectral stability of two fourth order Steklov problems upon domain perturba- tion. One...
The least Steklov eigenvalue d1 for the biharmonic operator in bounded domains gives a bou...
We derive the equation of a free vibrating thin plate whose mass is concentrated at the boundary, na...
We derive the equation of a free vibrating thin plate whose mass is concentrated at the boundary, na...
We consider the biharmonic operator subject to homogeneous intermediate boundary conditions of Stekl...
We consider the biharmonic operator subject to homogeneous intermediate boundary conditions of Stekl...
We study the spectral stability of two fourth order Steklov problems upon domain perturbation. One ...
We consider the biharmonic operator subject to homogeneous intermediate boundary conditions of Stekl...
We describe a shape derivative approach to provide a candidate for an optimal domain among non-simpl...
In this thesis we study eigenvalue problems with different boundary conditions for some operators of...
We provide a quantitative version of the isoperimetric inequality for the fundamental tone of a biha...
We consider the eigenvalues of the biharmonic operator subject to several homogeneous boundary condi...
We consider the eigenvalues of the biharmonic operator subject to several homogeneous boundary condi...
We study a new link between the Steklov and Neumann eigenvalues of domains in Euclidean space. This ...
The least Steklov eigenvalue d1 for the biharmonic operator in bounded domains gives a bou...
We study the spectral stability of two fourth order Steklov problems upon domain perturba- tion. One...
The least Steklov eigenvalue d1 for the biharmonic operator in bounded domains gives a bou...
We derive the equation of a free vibrating thin plate whose mass is concentrated at the boundary, na...
We derive the equation of a free vibrating thin plate whose mass is concentrated at the boundary, na...
We consider the biharmonic operator subject to homogeneous intermediate boundary conditions of Stekl...
We consider the biharmonic operator subject to homogeneous intermediate boundary conditions of Stekl...
We study the spectral stability of two fourth order Steklov problems upon domain perturbation. One ...
We consider the biharmonic operator subject to homogeneous intermediate boundary conditions of Stekl...
We describe a shape derivative approach to provide a candidate for an optimal domain among non-simpl...
In this thesis we study eigenvalue problems with different boundary conditions for some operators of...
We provide a quantitative version of the isoperimetric inequality for the fundamental tone of a biha...
We consider the eigenvalues of the biharmonic operator subject to several homogeneous boundary condi...
We consider the eigenvalues of the biharmonic operator subject to several homogeneous boundary condi...
We study a new link between the Steklov and Neumann eigenvalues of domains in Euclidean space. This ...
The least Steklov eigenvalue d1 for the biharmonic operator in bounded domains gives a bou...
We study the spectral stability of two fourth order Steklov problems upon domain perturba- tion. One...
The least Steklov eigenvalue d1 for the biharmonic operator in bounded domains gives a bou...
DOI
Add to ORKG