Extremal First Dirichlet Eigenvalue of Doubly Connected Plane Domains and Dihedral Symmetry
نویسندگان
چکیده
منابع مشابه
Extremal First Dirichlet Eigenvalue of Doubly Connected Plane Domains and Dihedral Symmetry
We deal with the following eigenvalue optimization problem: Given a bounded domain D ⊂ R, how to place an obstacle B of fixed shape within D so as to maximize or minimize the fundamental eigenvalue λ1 of the Dirichlet Laplacian on D \ B. This means that we want to extremize the function ρ 7→ λ1(D \ ρ(B)), where ρ runs over the set of rigid motions such that ρ(B) ⊂ D. We answer this problem in t...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2008
ISSN: 0036-1410,1095-7154
DOI: 10.1137/060670250