Positivity for a class of fourth-order semilinear problems

Date(s) : 25/02/2016   iCal
14 h 00 min - 15 h 00 min

In plate theory, the Kirchhoff-Love functional models the energy of a thin plate subject to an external force. Its critical points describe the deformation of the plate and turn out to be solutions of a linear fourth-order PDE in dimension 2 with Steklov boundary conditions. In this talk, we consider a generalization of this functional (which leads us to study a class of semilinear PDEs) and we investigate existence of positive least-energy solutions by variational methods. We also provide a convergence analysis for these solutions with respect to the parameter which appears in the boundary conditions.

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