2 problems

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Periodicity conjecture for solutions of the sixth-order radial ODE
Consider the sixth-order radial ODE obtained from the critical sixth-order equation by the Emden–Fowler transformation. Periodicity conjecture. Every solution of this ODE should be…
Conjectureopenordinary-differential-equations sixth-order-pdesarXiv posted 2 days ago
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Improved asymptotics for positive singular solutions of the critical sixth-order equation
Let $u$ be a positive solution of the local critical equation … and let $u_0\in C^6(\mathbb R^n\setminus\{0\})$ be the corresponding solution satisfying…
Conjectureopenasymptotic-analysis singular-solutions sixth-order-pdesarXiv posted 2 days ago

Periodicity conjecture for solutions of the sixth-order radial ODE