| Abstract: |
| I will consider the boundary value problem
$$-a\left(\int_{\Omega}|u|^q\ d\bm{s}\right)\Delta u(\bm{x})=\lambda g\big(u(\bm{x})\big)\text{, }\bm{x}\in\Omega,$$
where $\Omega$ is an annular region in $\mathbb{R}^{n}$ for $n\ge3$. The one-dimensional case ($n=1$), which leads to the problem
$$-a\left(\int_0^1|u|^q\ ds\right)u``(t)=\lambda f\big(t,u(t)\big)\text{, }0 |
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