Geodesic
Half-linear Sturm--Liouville problem with weights: Asymptotic behavior of eigenfunctions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces and related problems of analysis, Tome 284 (2014), pp. 157-162

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We consider a nonlinear Sturm–Liouville problem with weights. Under suitable assumptions on weights we prove an asymptotic estimate for the decay of the eigenfunctions. An application to the radial problem on the entire $\mathbb R^N$ is given. 
@article{TM_2014_284_a8,
     author = {Pavel Dr\'abek and Alois Kufner and Komil Kuliev},
     title = {Half-linear {Sturm--Liouville} problem with weights: {Asymptotic} behavior of eigenfunctions},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {157--162},
     publisher = {mathdoc},
     volume = {284},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2014_284_a8/}
}
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Pavel Drábek; Alois Kufner; Komil Kuliev. Half-linear Sturm--Liouville problem with weights: Asymptotic behavior of eigenfunctions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces and related problems of analysis, Tome 284 (2014), pp. 157-162. http://geodesic.mathdoc.fr/item/TM_2014_284_a8/