Level sets of certain neumann eigenfunctions under deformation of lipschitz domains application to the extended courant property

HIGHLIGHTS

  • who: Pierre Bérardand Bernard Helffer from the (UNIVERSITY) have published the article: Level sets of certain Neumann eigenfunctions under deformation of Lipschitz domains Application to the Extended Courant Property, in the Journal: (JOURNAL)

SUMMARY

    The authors write the eigenvalues of_(1.1) in nondecreasing order, with multiplicities, starting with the index 1, µ1 (Ω, a) and amp;lt; µ2 (Ω, a) 6 µ3 (Ω, a) 6 · · ·, where a ∈ {d, n} denotes the boundary condition. Given an eigenfunction ϕ ∈ E (µ(Ω, a)), the authors denote by Z(ϕ)={x ∈ Ω | ϕ(x)=0} the nodal set of ϕ, and by β0 (ϕ) the . . .

     

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