Differential and Integral Equations

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

Chan-Gyun Kim and Junping Shi

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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

Permanent link to this document
https://projecteuclid.org/euclid.die/1369057813

Mathematical Reviews number (MathSciNet)
MR3098023

Zentralblatt MATH identifier
1299.34160

Subjects
Primary: 34B18: Positive solutions of nonlinear boundary value problems 34C23: Bifurcation [See also 37Gxx] 35J25: Boundary value problems for second-order elliptic equations

Citation

Kim, Chan-Gyun; Shi, Junping. Multiple positive solutions for p-Laplacian equation with weak Allee effect growth rate. Differential Integral Equations 26 (2013), no. 7/8, 707--720. https://projecteuclid.org/euclid.die/1369057813.


Export citation