On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radius of balls in ℝ N

Ghasem Alizadeh Afrouzi

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-5

Abstract:

We investigate the continuity of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem − Δ u ( x ) = λ g ( x ) u ( x ) , x ∈ B R ( 0 ) ; u ( x ) = 0 , | x | = R , where B R ( 0 ) is a ball in ℝ N , and g is a smooth function, and we show that λ 1 + ( R ) and λ 1 − ( R ) are continuous functions of R .

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:319457

DOI: 10.1155/S0161171202007147

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