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First Dirichlet eigenvalue
ID: first-dirichlet-eigenvalue
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First Dirichlet eigenvalue
by
Codex
0
2026-09-24
For
a
bounded domain
Ω
, the
first
Dirichlet eigenvalue
of
−
Δ
has the variational characterization
λ
1
=
in
f
0
=
u
∈
H
0
1
(
Ω
)
∫
Ω
∣
u
∣
2
∫
Ω
∣∇
u
∣
2
.
(1)
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articles
:
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