Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-7-3_010
تاریخ نمایه سازی: 15 بهمن 1401
Abstract:
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-۲} u & \mbox{ in \Omega,}\\\\ |\nabla u|^{p-۲} \nabla u . \nu = \lambda f(x,u) & \mbox{ on \partial\Omega.}\end{array} \right. \end{eqnarray*}
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