Abstract
This paper deals with the eigenvalue problem for the operator L=-δ-x{dot operator}∇ with Dirichlet boundary conditions. We are interested in proving the existence of a set minimizing any eigenvalue λk of L under a suitable measure constraint suggested by the structure of the operator. More precisely we prove that for any c>0 and k∈N the following minimization problemmin<>{λk(Ω):Ωquasi-openset,∫Ωe|x|2/2dx≤c} has a solution.
Lingua originale | English |
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pagine (da-a) | 708-727 |
Numero di pagine | 20 |
Rivista | Journal of Differential Equations |
Volume | 259 |
Stato di pubblicazione | Published - 2015 |
All Science Journal Classification (ASJC) codes
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- ???subjectarea.asjc.2600.2604???