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

Journal of Mathematical Analysis and Applications

Volumn 205, Issue 2, 1997, Pages 285-312

  Padilla, Pablo ^a,b  

^a Ciudad Universitaria   (Mexico)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; MAXIMUM PRINCIPLE; NONLINEAR EQUATIONS; VECTORS;

RIEMANNIAN MANIFOLDS; SECOND ORDER ELLIPTIC OPERATORS;

MATHEMATICAL OPERATORS;

EID: 0031567798     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5139     Document Type: Article

References (8)

1. Berestycki H., Nirenberg L. On the method of moving planes and the sliding method. Bol. Soc. Brasil Mat. 22:1991;1-37.
2. Berestycki H., Nirenberg L., Varadhan S. R. S. The principal eigenvalue and maximum principle for second order elliptic operators in general domains. Comm. Pure Appl. Math. 47:1994;47-92.
3. Bony J. M. Principe du maximum dans les spaces de Sobolev. C. R. Acad. Sci. Paris Ser. A. 255:1967;333-336.
4. Gilbarg D., Trudinger N. S. Elliptic Partial Differential Equations of Second Order. 1983;Springer-Verlag, New York/Berlin.
5. Krylov N. V. Nonlinear Elliptic and Parabolic Equations of the Second Order. Grundlehren Math Wiss. 1983;Springer-Verlag, New York/Berlin.
6. Lions P. L. A remark on Bony's maximum principle. Proc. Amer. Math. Soc. 88:1983;503-508.
7. P. Padilla, 1993, Courant Institute, NYU.
8. Stroock D., Varadhan S. R. S. On the degenerate elliptic-parabolic operators of second order and their associated diffusions. Comm. Pure Appl. Math. 25:1972;651-713.