MULTIPLE NONNEGATIVE SOLUTIONS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS INVOLVING THE p -LAPLACIAN
نویسندگان
چکیده
In this paper we present a result concerning the existence of two nonzero nonnegative solutions for the following Dirichlet problem involving the p -Laplacian ( −∆pu = λf(x, u) in Ω, u = 0 on ∂Ω, using variational methods. In particular, we will determine an explicit real interval Λ for which these solutions exist for every λ ∈ Λ. We also point out that our result improves and extends to higher dimension a recent multiplicity result for ordinary differential equations.
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تاریخ انتشار 2008