Analytic proof that ind(Σ_a)=4 and nul(Σ_a)=2 for the critical spherical catenoid when a is sufficiently close to 1/2 from above.
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A triality framework unifies Riccati, Schrödinger, and HJB equations with existence results, sharp growth rates, and sensitivity analysis for radial nonlinear dynamics.
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Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $\mathbb{H}^3$
Analytic proof that ind(Σ_a)=4 and nul(Σ_a)=2 for the critical spherical catenoid when a is sufficiently close to 1/2 from above.
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The Triality of Radial Nonlinear Dynamics: Analysis of Riccati, Schr\"{o}dinger, and Hamilton--Jacobi--Bellman Equations
A triality framework unifies Riccati, Schrödinger, and HJB equations with existence results, sharp growth rates, and sensitivity analysis for radial nonlinear dynamics.