The paper proves the sharp lower bound λ ≥ (p-1) π_p^p / D^p for the principal eigenvalue of the p-operator L_p under the BE(0,N) condition, with equality if and only if the operator satisfies BE(0,1).
Bul letin (New Series) of the American Mathematical Society 17(1), 37–91 (1987)
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Sharp Estimates for the Principal Eigenvalue of the p-Operator
The paper proves the sharp lower bound λ ≥ (p-1) π_p^p / D^p for the principal eigenvalue of the p-operator L_p under the BE(0,N) condition, with equality if and only if the operator satisfies BE(0,1).