Existence of entire solutions to the Monge-Ampre equation
We prove the existence of infinitely many entire convex solutions to the Monge-Ampère equation det D2u = f in ℝn, assuming that the inhomogeneous term f ≥ 0 and is of polynomial growth at infinity. When f satisfies the doubling condition, we show tha
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|Source:||American Journal of Mathematics|
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