A self-similar blowup profile for the focusing semilinear heat equation with defocusing Hénon nonlinearity is stable under small non-radial perturbations in 3D for coupling constants below a critical value.
The kolmogorov–riesz compactness theorem.Expositiones Mathematicae, 28(4):385–394
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Stable blowup profile for a semilinear Heat Equation with spatially inhomogeneous nonlinearity
A self-similar blowup profile for the focusing semilinear heat equation with defocusing Hénon nonlinearity is stable under small non-radial perturbations in 3D for coupling constants below a critical value.