We investigate the existence of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem - Δ u(x) = λ g(x) u(x) on D; ∂ u/∂ n (x) + α u(x) = 0 on ∂ D, where D is a bounded region in RN, g is an indefinite weight function and α ∈ R may be positive, negative or zero.
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Afrouzi et al. (1999) studied this question.
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