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The principal eigenvalue and maximum principle for second order elliptic operators on Riemannian manifolds

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Publication:1353679
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DOI10.1006/jmaa.1997.5139zbMath0892.58082OpenAlexW2023846856WikidataQ115395408 ScholiaQ115395408MaRDI QIDQ1353679

Pablo Padilla

Publication date: 15 July 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0b18e2cd13fb67cadf1821d1c578faf3d5c11080


zbMATH Keywords

maximum principleprincipal eigenvalueelliptic operator


Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)


Related Items

Dirichlet principal eigenvalue comparison theorems in geometry with torsion ⋮ Positive solution for semilinear elliptic equation on general domain. ⋮ The global geometry of surfaces with prescribed mean curvature in ℝ³



Cites Work

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  • A Remark on Bony Maximum Principle
  • BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS
  • On degenerate elliptic-parabolic operators of second order and their associated diffusions
  • The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
  • On the method of moving planes and the sliding method
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