MULTIPLE SOLUTIONS FOR THE p-LAPLACE EQUATION WITH NONLINEAR BOUNDARY CONDITIONS
نویسنده
چکیده
In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation −∆pu + |u|p−2u = f(x, u) in a smooth bounded domain Ω of RN with nonlinear boundary conditions |∇u|p−2 ∂u ∂ν = g(x, u) on ∂Ω. The proof is based on variational arguments.
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تاریخ انتشار 2006