Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions
نویسندگان
1 Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran
2 Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran
doi
چکیده
In this paper we use the three critical points theorem attributed to B. Ricceri in order to establish existence of three distinct solutions for the following boundary value problem: \begin{eqnarray*} \left\{ \begin{array}{ll} \Delta_p u = a(x) |u|^{p-2} u & \mbox{ in $\Omega$,}\\\\ |\nabla u|^{p-2} \nabla u . \nu = \lambda f(x,u) & \mbox{ on $\partial\Omega$.}\end{array} \right. \end{eqnarray*}