On Fredholm Alternative for Certain Quasilinear Boundary Value Problems
نویسنده
چکیده
We study the Dirichlet boundary value problem for the p-Laplacian of the form −∆pu− λ1|u|p−2u = f in Ω, u = 0 on ∂Ω, where Ω ⊂ N is a bounded domain with smooth boundary ∂Ω, N 1, p > 1, f ∈ C(Ω) and λ1 > 0 is the first eigenvalue of ∆p. We study the geometry of the energy functional Ep(u) = 1 p ∫
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تاریخ انتشار 2002