Symmetry and rigidity for the hinged composite plate problem

preprint2018arXivOpen access

Abstract

The composite plate problem is an eigenvalue optimization problem related to the fourth order operator (−Δ)2(-Δ)^2. In this paper we continue the study started in [10], focusing on symmetry and rigidity issues in the case of the hinged composite plate problem, a specific situation that allows us to exploit classical techniques like the moving plane method.

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