3 problems

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Parabolic Hardy–Hénon Liouville conjecture for entire nonnegative solutions
Parabolic Hardy–Hénon Liouville conjecture. There is no entire nonnegative nontrivial solution when $p<p_S(a)$ .
Conjectureopenhardy-henon-equations liouville-theorems parabolic-equationsarXiv posted 2 days ago
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Elliptic Hardy–Hénon Liouville conjecture for positive solutions
Elliptic Hardy–Hénon Liouville conjecture. For radial solutions, the equation has no positive radial solution if and only if $p<p_S(a)$ ; more generally, the nonexistence of positiv…
Conjectureopenelliptic-equations hardy-henon-equations liouville-theoremsarXiv posted 2 days ago
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The Hardy–Hénon Liouville conjecture
Hardy–Hénon Liouville conjecture. The system has no positive solution in $\mathbb{R}^N$ if and only if
Conjectureopenelliptic-systems hardy-henon-equations liouville-theoremsarXiv posted 2 days ago

Parabolic Hardy–Hénon Liouville conjecture for entire nonnegative solutions