This analysis reports inequalities for the first Robin eigenvalue in nonlinear elliptic operators, suggesting new insights into their bounds.
Let Ω Ω be a bounded, smooth domain of RN R N , N≥ 2 N ≥ 2 . In this paper, we prove some inequalities involving the first Robin eigenvalue of the p -laplacian operator. In particular, we prove an upper bound for the first Robin eigenvalue of nonlinear elliptic operators in terms of the first Dirichlet eigenvalue.
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Barbato et al. (2026) studied this question.
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