Asymptotic spectrum of multiparameter eigenvalue problems
نویسندگان
چکیده
منابع مشابه
Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems
This paper is concerned with the nonlinear multiparameter elliptic eigenvalue problem u′′(r) + N − 1 r u′(r) + μu(r)− k ∑ i=1 λifi(u(r)) = 0, 0 < r < 1, u(r) > 0, 0 ≤ r < 1, u′(0) = 0, u(1) = 0, where N ≥ 1, k ∈ N and μ, λi ≥ 0 (1 ≤ i ≤ k) are parameters. The aim of this paper is to study the asymptotic properties of eigencurve μ(λ, α) = μ(λ1, λ2, · · · , λk, α) with emphasis on the phenomenon ...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1996
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500022835