Radially symmetric profiles solving Δ(f^m/m)+αf+βx·∇f=0 exist and are unique with either prescribed central value or prescribed r^{-(n-2)/m} decay at infinity.
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Existence of new self-similar solutions of the fast diffusion equation
Radially symmetric profiles solving Δ(f^m/m)+αf+βx·∇f=0 exist and are unique with either prescribed central value or prescribed r^{-(n-2)/m} decay at infinity.