We consider a class of quasilinear operators on a bounded domain Ω ⊂ Rn 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.

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

Della Pietra Francesco;Gavitone Nunzia;Kovarik Hynek
2017

Abstract

We consider a class of quasilinear operators on a bounded domain Ω ⊂ Rn 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/622535
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