Proves variant of Rauch hot spots conjecture for hyperbolic planar domains with small Neumann or mixed eigenvalues, showing no interior critical points for second eigenfunctions on large-area convex domains.
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Hot spots in convex hyperbolic planar domains with small eigenvalues
Proves variant of Rauch hot spots conjecture for hyperbolic planar domains with small Neumann or mixed eigenvalues, showing no interior critical points for second eigenfunctions on large-area convex domains.