| Abstract: |
| Although fourth-order problems have granted attention even from the first decade of the 20th century, most of the literature deals with the Navier case or with Dirichlet boundary conditions,where Green`s function arguments are available.
This talk is a contribution to the study of a hinged plate problem, i.e., we work under the more complicated boundary conditions called Steklov conditions. Such problems have been studied only in the last decade. Here, we mainly focus on some paradoxes (Babuska and Sapodzyan), existence via variational methods in the case of a semilinear biharmonic Steklov problem and on an uniqueness result based on a maximum principle. |
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