Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran
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-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*}
Zivari-Rezapour, M., & Jalalvand, M. (2019). Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions. Computational Methods for Differential Equations, 7(3), 475-479.
MLA
Mohsen Zivari-Rezapour; Mehdi Jalalvand. "Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions". Computational Methods for Differential Equations, 7, 3, 2019, 475-479.
HARVARD
Zivari-Rezapour, M., Jalalvand, M. (2019). 'Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions', Computational Methods for Differential Equations, 7(3), pp. 475-479.
VANCOUVER
Zivari-Rezapour, M., Jalalvand, M. Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions. Computational Methods for Differential Equations, 2019; 7(3): 475-479.
)
