The Principal Eigenvalue and Maximum Principle for Second Order Elliptic Operators on Riemannian Manifolds

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5139 ◽

1997 ◽

Vol 205 (2) ◽

pp. 285-312 ◽

Author(s):

Pablo Padilla

Keyword(s):

Maximum Principle ◽

Riemannian Manifolds ◽

Principal Eigenvalue ◽

Elliptic Operators ◽

Second Order ◽

Second Order Elliptic Operators

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The principal eigenvalue and maximum principle for second-order elliptic operators in general domains

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160470105 ◽

1994 ◽

Vol 47 (1) ◽

pp. 47-92 ◽

Author(s):

H. Berestycki ◽

L. Nirenberg ◽

S. R. S. Varadhan

Keyword(s):

Maximum Principle ◽

Principal Eigenvalue ◽

Elliptic Operators ◽

Second Order ◽

Second Order Elliptic Operators

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The asymptotic shift for the principal eigenvalue for second order elliptic operators in the presence of small obstacles

Israel Journal of Mathematics ◽

10.1007/s11856-009-0009-x ◽

2008 ◽

Vol 169 (1) ◽

pp. 181-220 ◽

Author(s):

Iddo Ben-Ari

Keyword(s):

Principal Eigenvalue ◽

Elliptic Operators ◽

Second Order ◽

Second Order Elliptic Operators

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On the maximum principle for complete second-order elliptic operators in general domains

Journal of Differential Equations ◽

10.1016/s0022-0396(03)00193-1 ◽

2003 ◽

Vol 194 (1) ◽

pp. 166-184 ◽

Author(s):

Antonio Vitolo

Keyword(s):

Maximum Principle ◽

Elliptic Operators ◽

Second Order ◽

The Maximum Principle ◽

Second Order Elliptic Operators

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On variational principles for the generalized principal eigenvalue of second order elliptic operators and some applications

Journal d Analyse Mathématique ◽

10.1007/bf02790223 ◽

1992 ◽

Vol 59 (1) ◽

pp. 161-177 ◽

Author(s):

Roger D. Nussbaum ◽

Yehuda Pinchover

Keyword(s):

Variational Principles ◽

Principal Eigenvalue ◽

Elliptic Operators ◽

Second Order ◽

Second Order Elliptic Operators

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Inequalities for lower order eigenvalues of second order elliptic operators in divergence form on Riemannian manifolds

Archiv der Mathematik ◽

10.1007/s00013-013-0564-6 ◽

2013 ◽

Vol 101 (4) ◽

pp. 381-393 ◽

Author(s):

He-Jun Sun ◽

Da-Guang Chen

Keyword(s):

Riemannian Manifolds ◽

Lower Order ◽

Divergence Form ◽

Elliptic Operators ◽

Second Order ◽

Second Order Elliptic Operators

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Heat Kernel Bounds for Second Order Elliptic Operators on Riemannian Manifolds

American Journal of Mathematics ◽

10.2307/2374567 ◽

1987 ◽

Vol 109 (3) ◽

pp. 545 ◽

Author(s):

E. B. Davies

Keyword(s):

Heat Kernel ◽

Riemannian Manifolds ◽

Elliptic Operators ◽

Second Order ◽

Kernel Bounds ◽

Second Order Elliptic Operators

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On Green functions of second-order elliptic operators on Riemannian manifolds: The critical case

Journal of Functional Analysis ◽

10.1016/j.jfa.2017.07.004 ◽

2018 ◽

Vol 274 (9) ◽

pp. 2700-2724 ◽

Author(s):

Debdip Ganguly ◽

Yehuda Pinchover

Keyword(s):

Riemannian Manifolds ◽

Critical Case ◽

Elliptic Operators ◽

Second Order ◽

Green Functions ◽

Second Order Elliptic Operators

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On the maximum principle for second-order elliptic operators in unbounded domains

Comptes Rendus Mathematique ◽

10.1016/s1631-073x(02)02267-7 ◽

2002 ◽

Vol 334 (5) ◽

pp. 359-363 ◽

Author(s):

Vittorio Cafagna ◽

Antonio Vitolo

Keyword(s):

Maximum Principle ◽

Unbounded Domains ◽

Elliptic Operators ◽

Second Order ◽

The Maximum Principle ◽

Second Order Elliptic Operators

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An anti-maximum principle for second-order elliptic operators

Journal of Differential Equations ◽

10.1016/0022-0396(79)90006-8 ◽

1979 ◽

Vol 34 (2) ◽

pp. 218-229 ◽

Author(s):

Ph Clément ◽

L.A Peletier

Keyword(s):

Maximum Principle ◽

Elliptic Operators ◽

Second Order ◽

Second Order Elliptic Operators

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About the G-compactness of certain classes of second-order elliptic operators

Daghestan Electronic Mathematical Reports ◽

10.31029/demr.10.1 ◽

2018 ◽

pp. 1-12

Author(s):

Magomed Sirazhudinov ◽

Saida Dzhamaludinova

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Second Order Elliptic Operators

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