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Singular Extremal Solutions on Thin Ellipsoids with Varying Nonlinearities
Let $N=m+1$ and consider the thin ellipsoid \[ Ω_\varepsilon=\{(y,x_N)\in\mathbb R^m\times\mathbb R:\ |y|^2+\varepsilon^{-2}x_N^20$, there exists a smooth positive, strictly increasing, strictly c
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