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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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2verdicts
UNVERDICTED 2representative citing papers
On symmetric quadrilaterals the second Neumann eigenfunction switches between symmetry and antisymmetry at critical geometric parameters, with non-vertex critical points fully characterized or absent.
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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.
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Critical points of the second Neumann eigenfunctions on the quadrangles with symmetry
On symmetric quadrilaterals the second Neumann eigenfunction switches between symmetry and antisymmetry at critical geometric parameters, with non-vertex critical points fully characterized or absent.