21 citations · 28 across the 4 of their papers we have counts for
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Optimality conditions for the buckling of a clamped plate
Kathrin Knappmann, Alfred Wagner
We prove the following uniqueness result for the buckling plate. Assume there exists a smooth domain which minimizes the first buckling eigenvalue for a plate among all smooth doma…
Domain perturbations for elliptic problems with Robin boundary conditions of opposite sign
Catherine Bandle, Alfred Wagner
We consider the energy of the torsion problem with Robin boundary conditions in the case where the solution is not a minimizer. Its dependence on the volume of the domain and the s…
Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions
Catherine Bandle, Alfred Wagner
An inequality for the reverse Bossel-Daners inequality is derived by means of the harmonic transplantation and the first shape derivative. This method is then applied to elliptic b…
Second variation of domain functionals and applications to problems with Robin boundary conditions
Catherine Bandle, Alfred Wagner
In this paper the first and second domain variation for functionals related to elliptic boundary and eigenvalue problems with Robin boundary conditions is computed. Minimality and…