| Abstract: |
| In this talk, the following boundary value problem is considered: $u``+\lambda h(x;a)e^u=0$ for $x\in(-1,1)$; $u(-1)=u(1)=0$.
Here, $\lambda>0$, $h(x;a)=0$ for $x\in(-a,a)$, $h(x;a)=1$ for $x\in[-1,-a]\cup[a,1]$ and $a\in(0,1)$.
It is shown that there exists a bifurcation point such that a positive non-even solution bifurcates at this point from the curve of positive even solutions. |
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