### Optimizing the first eigenvalue of some quasilinear operators with respect to boundary conditions

Analysis and Geometry Seminar

16th October 2018, 3:00 pm – 4:00 pm

Howard House, 2nd Floor Seminar Room

We consider a class of quasilinear operators on a bounded domains and address the question of optimizing the first eigenvalue with respect to the boundary conditions, which are of the Robin-type. We describe the optimizing boundary conditions and establish upper and lower bounds on the respective maximal and minimal eigenvalue. This is a joint work with N.Gavitone (Università degli studi di Napoli Federico II) and H. Kovarik (Università degli studi di Brescia).

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