On the second eigenvalue of combination between local and nonlocal 𝑝-Laplacian

DOI10.1090/proc/14542zbMath1425.35131arXiv1901.03444OpenAlexW2962994943MaRDI QIDQ5232927

Divya Goel, Konijeti Sreenadh

Publication date: 13 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03444

zbMATH Keywords

eigenvalue problemFaber-Krahn inequalitynonlocal Hong-Krahn-Szegő inequalitynonlocal p-Laplacian

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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)

Related Items (7)

A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as p → ∞ ⋮ Variational methods for nonpositive mixed local-nonlocal operators ⋮ A Faber-Krahn inequality for mixed local and nonlocal operators ⋮ A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators ⋮ Mixed local and nonlocal Dirichlet \((p, q)\)-eigenvalue problem ⋮ A note on the combination between local and nonlocal p-Laplacian operators ⋮ A limiting problem for local/non-local \(p\)-Laplacians with concave-convex nonlinearities

Cites Work

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