Exact multiplicity of boundary blow-up solutions for a bistable problem

Authors:
Junping Shi;Shin-Hwa Wang
Affiliations:
Department of Mathematics, College of William and Mary, Williamsburg, VA 23187, USA and School of Mathematics, Harbin Normal University, Harbin, Heilongjiang, 150080, PR China;Department of Mathematics, National Tsing Hua University, Hsinchu 300, Taiwan, ROC
Venue:
Computers & Mathematics with Applications
Year:
2007

Citing 2
Cited 2

Explosive nonnegative solutions to two point boundary value problems

Nonlinear Analysis: Theory, Methods & Applications
Existence and multiplicity of boundary blow-up nonnegative solutions to two-point boundary value problems

Nonlinear Analysis: Theory, Methods & Applications

The numerical solution of a generalized Burgers-Huxley equation through a conditionally bounded and symmetry-preserving method

Computers & Mathematics with Applications
A computer assisted study of uniqueness of ground state solutions

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.09

Visualization

Abstract

We prove the exact multiplicity of positive boundary blow-up solutions to a semilinear elliptic equation with bistable nonlinearity for the one-dimensional case. We use time-mapping techniques to determine the exact shape of the bifurcation diagram.