## Differential and Integral Equations

### Multiple positive solutions for p-Laplacian equation with weak Allee effect growth rate

#### Abstract

A $p$-Laplacian equation with weak Allee effect growth rate and Dirichlet boundary condition is considered. The existence, multiplicity and bifurcation of positive solutions are proved with comparison and variational techniques. The existence of multiple positive solutions implies that the related ecological system may exhibit bistable dynamics.

#### Article information

Source
Differential Integral Equations Volume 26, Number 7/8 (2013), 707-720.

Dates
First available in Project Euclid: 20 May 2013