3 problems

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Critical-curve conjecture for fast-decaying exterior-domain solutions
Exterior-domain critical-curve conjecture. The curve produced by $\partial\mathcal{C}$ is a critical curve separating the exponent pairs for which fast-decaying exterior-domain sol…
Conjectureopencritical-curves exterior-domain-problems lane-emden-systemsarXiv posted 2 days ago
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Critical-curve conjecture for Lane–Emden ground states
Critical-curve conjecture. The boundary $\partial\mathcal{C}$ is a critical curve in the $(p,q)$ -plane separating the exponents for which regular solutions exist in $\mathbb{R}^N$ …
Conjectureopencritical-curves fully-nonlinear-elliptic-equations lane-emden-systemsarXiv posted 2 days ago
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Weak-interaction scaling conjecture for the discrete annealed critical curve
Weak-interaction scaling conjecture. In all three regimes,
Conjectureopencritical-curves pinning-models scaling-limitsarXiv posted 2 days ago

Critical-curve conjecture for fast-decaying exterior-domain solutions