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Research Report MRR96-044

On a Monge-Ampère equation arising in geometric optics

Pengfei Guan and Xu-Jia Wang

Abstract: In this paper we study a Monge-Ampère equation arising in geometric optics. We will establish the a priori estimates and derive the existence of solutions by the continuity method. We also give a Legendre-type transformation for this equation.


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