Strict monotonicity of the first \(q\)-eigenvalue of the fractional \(p\)-Laplace operator over annuli

DOI10.1007/s12220-023-01539-9arXiv2305.16672OpenAlexW4391640422WikidataQ128395011 ScholiaQ128395011MaRDI QIDQ6154389

Nirjan Biswas, K. Ashok Kumar

Publication date: 15 February 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.16672

zbMATH Keywords

polarizationsstrong comparison principleFaber-Krahn inequalitynonlocal operatormonotonicity of the first eigenvalue

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Optimization of shapes other than minimal surfaces (49Q10) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear elliptic equations with (p)-Laplacian (35J92) Comparison principles in context of PDEs (35B51)

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