Principal Eigenvalues with Indefinite Weight Functions

Jin, Zhiren

doi:10.1090/S0002-9947-97-01797-2

Principal Eigenvalues with Indefinite Weight Functions
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Trans. Amer. Math. Soc. 349 (1997), 1945-1959 Request permission

Abstract:

Both existence and non-existence results for principal eigenvalues of an elliptic operator with indefinite weight function have been proved. The existence of a continuous family of principal eigenvalues is demonstrated.

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