| Abstract: |
| We discuss a higher-order variational problem with an obstacle constraint in a one-dimensional periodic setting. This problem arises from materials science and models thin elastic bodies adhering to non-flat solid substrates. In this talk we consider how physical parameters in the model affect the shapes of least energy solutions. We provide several conditions implying ``flatness`` of solutions in some sense and also give an example of a situation such that any least energy solution is ``rougher`` than the substrate. |
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