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MR1260160 (95g:35150) 35P30 (47H12 47N20)
Binding, P. A.; Huang, Y. X. Existence and nonexistence of positive eigenfunctions for the $p$-Laplacian. Proc. Amer. Math. Soc. 123 (1995), no. 6, 1833–1838.
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