Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions

	Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions
Computational Methods for Differential Equations
مقاله 10، دوره 7، شماره 3، مهر 2019، صفحه 475-479 اصل مقاله (345.16 K)
نوع مقاله: Research Paper
نویسندگان
Mohsen Zivari-Rezapour؛ Mehdi Jalalvand^*
Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran
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}
کلیدواژه‌ها
Three critical points؛ p-Laplacian؛ Multiplicity؛ Existence

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