Abstract
We consider the p-Laplacian problem[formula]on unbounded cylinders Ω=Ω̃×RN−m⊂RN,N−m≥2, where Δpu=div(|∇u|p−2∇u), λ is a constant in a certain range, and a∈LN/p(Ω)∩L∞(Ω) is nonnegative, a≢0. Using the principle of symmetric criticality, existence and multiplicity are proved under suitable conditions on a and f.
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