One-dimensional prescribed mean curvature equation with exponential nonlinearity Original Research Article

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.