Abstract
Abstract The asymptotic behavior of the sequence {un} of positive first eigenfunctions for a class of inhomogeneous eigenvalue problems is studied in the setting of Orlicz-Sobolev spaces. After possibly extracting a subsequence, we prove that un → u∞ uniformly in Ω as n→∞, where u∞ is a nontrivial viscosity solution of a nonlinear PDE involving the ∞-Laplacian.
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