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We study the existence and multiplicity of sign changing solutions of the
following equation $ \begin{cases} -\Delta u = \mu
|u|^{2^{\star}-2}u+\frac{|u|^{2^{*}(t)-2}u}{|x|^t}+a(x)u \quad\quad
\Omega, u=0 \quad\quad\partial\Omega, \end{cases} \Omega$ is a
bounded domain in , , all the principal curvatures of
at are negative and $\mu\geq 0, \ \ a>0, \ \ N\geq 7, \
0<t<2, \ \ 2^{\star}=\frac{2N}{N-2}2^{\star}(t)=\frac{2(N-t)}{N-2}$.

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