Differential and Integral Equations

Asymptotic formula of eigenvalues of sublinear Sturm-Liouville problems

Tetsutaro Shibata

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We consider the sublinear Sturm-Liouville problems with power nonlinearity. We establish asymptotic formulas of eigenvalues as the $L^2$-norm and $L^\infty$-norm of the corresponding eigenfunctions tend to zero.

Article information

Differential Integral Equations, Volume 8, Number 1 (1995), 183-200.

First available in Project Euclid: 21 May 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34B15: Nonlinear boundary value problems
Secondary: 34L30: Nonlinear ordinary differential operators


Shibata, Tetsutaro. Asymptotic formula of eigenvalues of sublinear Sturm-Liouville problems. Differential Integral Equations 8 (1995), no. 1, 183--200. https://projecteuclid.org/euclid.die/1369143791

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