2 problems

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Chanillo–Malchiodi non-degeneracy conjecture for higher-degree H-bubbles
Chanillo–Malchiodi non-degeneracy conjecture. The higher-degree $H$ -bubble $\pi(z^m)$ with $|m|\geq 2$ is non-degenerate for the energy functional.
Conjecturesolvedgeometric-analysis h-systems non-degeneracyarXiv posted 2 days ago
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Non-degeneracy conjecture for bubbles of the two-dimensional $H$ -system
Non-degeneracy conjecture. All bubbles should be non-degenerate.
Conjectureopencalculus-of-variations harmonic-maps h-systemsarXiv posted 2 days ago

Chanillo–Malchiodi non-degeneracy conjecture for higher-degree H-bubbles