Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems | Zendy

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Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems

Author(s) -

Tetsutaro Shibata

Publication year - 1996

Publication title -

bulletin of the belgian mathematical society - simon stevin

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.36

H-Index - 31

eISSN - 2034-1970

pISSN - 1370-1444

DOI - 10.36045/bbms/1105652780

Subject(s) - eigenfunction , eigenvalues and eigenvectors , mathematics , bifurcation , nonlinear system , mathematical analysis , mathematics subject classification , pure mathematics , physics , quantum mechanics

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 0, 0 ≤ r 0 is a normalizing parameter of eigenfunction associated with μ(λ, α). To this end, we shall establish asymptotic formulas of μ(λ, α) as |λ| → ∞, 0. Received by the editors November 1995. Communicated by J. Laubin. 1991 Mathematics Subject Classification : 35P30.

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