Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839736 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 14 Pages |
Abstract
We study the following nonlinear elliptic problem {−Δu+mu=g(x,u)+f(x)in RN∖B¯R,u=hon ∂BR,u→0as ∣x∣→+∞, with N≥3N≥3, m∈R+∗, under suitable conditions on the radial functions gg, ff and hh. Multiplicity results are proved in the perturbed case f≢0f≢0 and h≢0h≢0 by using Bolle’s perturbation method and suitable growth estimates on min–max critical levels.
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Authors
Sara Barile, Addolorata Salvatore,