Small perturbations and the eigenvalues of the Laplacian on large bounded domains
Small perturbations and the eigenvalues of the Laplacian on large bounded domains
Denote by <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper Delta Subscript upper L Superscript upper D"> <mml:semantics> <mml:msubsup> <mml:mi mathvariant="normal">Δ<!-- Δ --></mml:mi> <mml:mi>L</mml:mi> <mml:mi>D</mml:mi> </mml:msubsup> <mml:annotation encoding="application/x-tex">\Delta _L^D</mml:annotation> </mml:semantics> </mml:math> </inline-formula> the Laplacian on a hypercube in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="bold upper R Superscript d"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mrow …