Half-linear eigenvalue problem: Limit behavior of the first eigenvalue for shrinking interval
1 University of Miskolc, Egyetemváros, Miskolc, 3515, Hungary
2 Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, Brno, 611 37, Czech Republic
Boundary Value Problems 2013, 2013:221 doi:10.1186/1687-2770-2013-221Published: 7 November 2013
We investigate the limit behavior of the first eigenvalue of the half-linear eigenvalue problem when the length of the interval tends to zero. We show that the important role is played by the limit behavior of ratios of primitive functions of coefficients in the investigated half-linear equation.