Title of article
One-dimensional prescribed mean curvature equation with exponential nonlinearity Original Research Article
Author/Authors
Hongjing Pan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
12
From page
999
To page
1010
Abstract
We establish the existence and multiplicity results for the one-dimensional prescribed mean curvature equation
View the MathML source−(u′/1+(u′)2)′=λeu,u(0)=0,u(L)=0.
Turn MathJax on
In particular, we characterize the precise dependence of the multiplicity of solutions with respect to both the length LL of the interval and the value of the parameter λλ.
Keywords
Prescribed mean curvature equation , Bifurcation , Gelfand problem , Exponential nonlinearity , time map
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860811
Link To Document