For n≥2, p,q>0 and real weights A,B satisfying (n+A)/(p+1)+(n+B)/(q+1)>n−2, the Hénon–Lane–Emden system has no strictly positive entire solution continuous at the origin and C² away from it.
For n≥2, p,q>0 and real weights A,B satisfying (n+A)/(p+1)+(n+B)/(q+1)>n−2, the Hénon–Lane–Emden system has no strictly positive entire solution continuous at the origin and C² away from it.
For n≥2, p,q>0 and real weights A,B satisfying (n+A)/(p+1)+(n+B)/(q+1)>n−2, the Hénon–Lane–Emden system has no strictly positive entire solution continuous at the origin and C² away from it.
If correct, resolves the subcritical Hénon–Lane–Emden conjecture across the stated powers, weights and dimensions.
Can a positive entire solution exist below the Hénon–Lane–Emden critical hyperbola?
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