Vol. 216, No. 1, 2004

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The Monge–Ampère equation with infinite boundary value

Bo Guan and Huai-Yu Jian

Vol. 216 (2004), No. 1, 77–94
Abstract

This article concerns the Monge–Ampère equations with infinite boundary value in convex domains in Euclidean space. We were able to characterize the growth rate conditions, which are nearly optimal, for the existence/nonexistence of solutions to the problem.

Milestones
Published: 1 September 2004
Authors
Bo Guan
Department of Mathematics
University of Tennessee
Knoxville TN 37996
Huai-Yu Jian
Department of Mathematical Sciences
Tsinghua University
Beijing 100084
China