2 problems

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Pucci–Serrin's solution-gap conjecture for higher-order critical equations on balls
Pucci–Serrin's conjecture. The existence of a solution requires $\lambda$ to be larger than some positive constant; equivalently, there is a constant $\underline{\Lambda}>0$ such t…
Conjectureopencritical-equations higher-order-elliptic-equations hyperbolic-spacesarXiv posted 2 days ago
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Equal-rate blowup conjecture for critical biharmonic nonlinear Schrödinger rings
Equal-rate blowup conjecture. The solution undergoes equal-rate collapse,
Conjectureopenblowup critical-equations nonlinear-schrodinger-equationarXiv posted 2 days ago

Pucci–Serrin's solution-gap conjecture for higher-order critical equations on balls