### Stability Properties of Positive Solutions to a Quasilinear Elliptic Equation Involving the $p$-Laplacian and Indefinite Weight

*Ghasem A. Afrouzi, Saleh Shakeri*

#### Abstract

In this note, we discuss the stability and instability results of

positive solutions the following reaction -diffusion equation

\begin{equation}\label{1}

\left\{\begin{array}{ll} -\Delta_p

u=m(x)u^{p-1}-u^{\gamma-1}-ch(x) & \textrm{ in }\Omega,\\

Bu=0 & \textrm{ on }\partial \Omega

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|ISSN 1686-0209|