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- W2021389947 abstract "Abstract We consider the eigenvalue problem (0.1) { − Δ v = λ μ e u λ v in Ω , ‖ v ‖ ∞ = 1 v = 0 on ∂ Ω , where Ω is a bounded smooth domain of R 2 , λ > 0 is a real parameter and u λ is a solution of { − Δ u λ = λ e u λ in Ω , u λ = 0 on ∂ Ω such that λ ∫ Ω e u λ → 8 π as λ → 0 . In this paper we study the asymptotic behavior of the eigenvalues μ of (0.1) as λ → 0 . Moreover some explicit estimates for the four first eigenvalues and eigenfunctions are given. Other related results as the Morse index of the solution u λ will be proved." @default.
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- W2021389947 date "2009-02-01" @default.
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- W2021389947 title "On the spectrum of a nonlinear planar problem" @default.
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- W2021389947 doi "https://doi.org/10.1016/j.anihpc.2007.10.004" @default.
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