Harnack's inequality for solutions to the linearized Monge-Ampère operator with lower-order terms (Q2438009)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harnack's inequality for solutions to the linearized Monge-Ampère operator with lower-order terms |
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Harnack's inequality for solutions to the linearized Monge-Ampère operator with lower-order terms (English)
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10 March 2014
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This paper deals with a qualitative property of nonnegative solutions of the nonhomogeneous linearized Monge-Ampère equation with lower-order terms. The main result establishes a Harnack-type inequality. The proof combines the Aleksandrov-Bakelman-Pucci maximum principle, critical-density estimates, and a Poincaré-type inequality within the Monge-Ampère quasi-metric structure.
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linearized Monge-Ampère equation
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Harnack's inequality
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Monge-Ampère measure
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