We consider the minimisation of convex combinations of the first three eigenvalues of the Dirichlet Laplacian among sets of fixed measure. We investigate for which cases every minimiser is connected.
Iversen, M., Mazzoleni, D. C. S., Minimising convex combinations of low eigenvalues, <<ESAIM. COCV>>, 2014; 20 (2): 442-459. [doi:10.1051/cocv/2013070] [http://hdl.handle.net/10807/118948]
Minimising convex combinations of low eigenvalues
Mazzoleni, Dario Cesare Severo
2014
Abstract
We consider the minimisation of convex combinations of the first three eigenvalues of the Dirichlet Laplacian among sets of fixed measure. We investigate for which cases every minimiser is connected.
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