Conformally invariant Monge-Ampère equations: Global solutions
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- by Jeff A. Viaclovsky PDF
- Trans. Amer. Math. Soc. 352 (2000), 4371-4379 Request permission
Abstract:
In this paper we will examine a class of fully nonlinear partial differential equations which are invariant under the conformal group $SO(n+1,1)$. These equations are elliptic and variational. Using this structure and the conformal invariance, we will prove a global uniqueness theorem for solutions in $\mathbf {R}^n$ with a quadratic growth condition at infinity.References
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Additional Information
- Jeff A. Viaclovsky
- Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
- Address at time of publication: Department of Mathematics, University of Texas, Austin, Texas 78712
- MR Author ID: 648525
- Email: jeffv@alumni.princeton.edu
- Received by editor(s): November 19, 1998
- Published electronically: April 17, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 4371-4379
- MSC (2000): Primary 35J60, 53A30
- DOI: https://doi.org/10.1090/S0002-9947-00-02548-4
- MathSciNet review: 1694380