Asymptotic behavior of eigenvalues of two-parameter nonlinear Sturm-Liouville problems

DOI10.1007/BF02788825zbMath0844.34092MaRDI QIDQ1909259

Tetsutaro Shibata

Publication date: 11 March 1996

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

boundary eigenvalue problemasymptotic formula for the first eigenvaluenonlinear two-parameter Sturm-Liouville problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (9)

Layer structures for the solutions to the perturbed simple pendulum problems ⋮ Asymptotic expansion of the variational eigencurve for two-parameter simple pendulum-type equations ⋮ Unnamed Item ⋮ Nonlinear multiparameter eigenvalue problems on general level sets ⋮ Two-parameter eigenvalue problems in nonlinear second order differential equations ⋮ Asymptotic behavior of eigenvalues for two-parameter perturbed elliptic sine-Gordon type equations ⋮ Interior transition layers of solutions to the perturbed elliptic sine-Gordon equation on an interval ⋮ Precise Asymptotic Properties of Solutions to Two-Parameter Elliptic Eigenvalue Problems in a Ball ⋮ Spectral asymptotics of nonlinear elliptic two-parameter problems

Cites Work

• Unnamed Item
• Asymptotics of eigencurves for second order ordinary differential equations. I
• Nonlinear scalar field equations. I: Existence of a ground state
• Symmetry and related properties via the maximum principle
• Spectral asymptotics of two parameter nonlinear Sturm-Liouville problem
• LJUSTERNIK-SCHNIRELMAN Theory on General Level Sets

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