Symmetry results for critical anisotropicp- Laplacian equations in convex cones.Geom

Giulio Ciraolo, Alessio Figalli, Alberto Roncoroni · 2020

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math.AP · 2025-09-10 · conditional · novelty 7.0

For Q>4 and α≤2Q/(Q−4), the equation σ_2(Hess_X u)=(−u)^α on the Heisenberg group admits no negative 2-convex entire solution.

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A Liouville theorem for the $2$-Hessian equation on the Heisenberg group math.AP · 2025-09-10 · conditional · none · ref 8
For Q>4 and α≤2Q/(Q−4), the equation σ_2(Hess_X u)=(−u)^α on the Heisenberg group admits no negative 2-convex entire solution.