Fernandez Bonder, Julian2021-07-152021-07-152006-03-21Fernández Bonder, J. (2006). Multiple solutions for the p-Laplace equation with nonlinear boundary conditions. <i>Electronic Journal of Differential Equations, 2006</i>(37), pp. 1-7.1072-6691https://hdl.handle.net/10877/13910In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation -Δpu + |u|p-2 u = ƒ(x, u) in a smooth bounded domain Ω of ℝN with nonlinear boundary conditions |∇u|p-2 ∂u/∂v = g(x, u) on ∂Ω. The proof is based on variational arguments.Text7 pages1 file (.pdf)enAttribution 4.0 Internationalp-Laplace equationsNonlinear boundary conditionsVariational methodsArticle