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Homogeneous solutions to fully nonlinear elliptic equations
Author(s):
Nikolai
Nadirashvili;
Yu
Yuan
Journal:
Proc. Amer. Math. Soc.
134
(2006),
1647-1649.
MSC (2000):
Primary 35J60
Posted:
January 17, 2006
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Abstract:
We classify homogeneous degree solutions to fully nonlinear elliptic equations.
References:
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- [CC]
- Caffarelli, L. A. and Cabré, X., Fully nonlinear elliptic equations. American Mathematical Society Colloquium Publications, 43, American Mathematical Society, Providence, RI, 1995. MR 1351007 (96h:35046)
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- Han, Q., Nadirashvili, N., and Yuan, Yu, Linearity of homogeneous order-one solutions to elliptic equations in dimension three, Comm. Pure Appl. Math. 56 (2003), 425-432. MR 1949137 (2003k:35043)
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- Harvey, R. and Lawson, H. B. Jr., Calibrated geometry, Acta Math. 148 (1982), 47-157. MR 0666108 (85i:53058)
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Additional Information:
Nikolai
Nadirashvili
Affiliation:
LATP, Centre de Mathématiques et Informatique, 39, rue F. Joliot-Curie, 13453 Marseille Cedex, France
Email:
nicolas@cmi.univ-mrs.fr
Yu
Yuan
Affiliation:
Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
Email:
yuan@math.washington.edu
DOI:
10.1090/S0002-9939-06-08367-5
PII:
S 0002-9939(06)08367-5
Received by editor(s):
November 5, 2004
Posted:
January 17, 2006
Additional Notes:
Both authors were partially supported by NSF grants, and the second author was also supported by a Sloan Research Fellowship
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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