On Positivity for the Biharmonic Operator under Steklov Boundary Conditions |
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| Authors: | Filippo Gazzola Guido Sweers |
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| Affiliation: | 1.Dipartimento di Matematica,Politecnico di Milano,Milano,Italy;2.Mathematisches Institut,Universit?t zu K?ln,K?ln,Germany;3.Delft Institute of Applied Mathematics TUDelft,Delft,The Netherlands |
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| Abstract: | The positivity-preserving property for the inverse of the biharmonic operator under Steklov boundary conditions is studied. It is shown that this property is quite sensitive to the parameter involved in the boundary condition. Moreover, positivity of the Steklov boundary value problem is linked with positivity under boundary conditions of Navier and Dirichlet type. |
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