Eigenvalue estimates for a generalized Paneitz operator

DOI10.1007/s12044-023-00749-zzbMath1526.35247OpenAlexW4386570316MaRDI QIDQ6056666

Shahroud Azami

Publication date: 30 October 2023

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-023-00749-z

zbMATH Keywords

eigenvaluescurvaturesubmanifoldsPaneitz operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Spectral theory; eigenvalue problems on manifolds (58C40) PDEs on manifolds (35R01)

Cites Work

• Second eigenvalue of Paneitz operators and mean curvature
• Estimates for eigenvalues of the Paneitz operator
• Group representations arising from Lorentz conformal geometry
• The Weyl functional, de Rham cohomology, and Kähler-Einstein metrics
• Global existence and convergence for a higher order flow in conformal geometry
• Eigenvalue estimates for a class of elliptic differential operators in divergence form
• Positivity of Paneitz operators
• Conformal energy in four dimension
• The principal eigenvalue of a conformally invariant differential operator, with an application to semilinear elliptic PDE
• Reilly-type inequalities for Paneitz and Steklov eigenvalues
• Universal bounds for eigenvalues of the polyharmonic operators
• A Guide to Spectral Theory

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