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We prove a general criterion for blowup of radial solutions in $\\mathbb{R}^N$ with $N \\geq 2$ for $L^2$-supercritical and $L^2$-critical powers $\\sigma \\geq 2s/N$. 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We prove a general criterion for blowup of radial solutions in $\\mathbb{R}^N$ with $N \\geq 2$ for $L^2$-supercritical and $L^2$-critical powers $\\sigma \\geq 2s/N$. 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