On the Harnack inequality for degenerate and singular elliptic equations with unbounded lower order terms via sliding paraboloids
On the Harnack inequality for degenerate and singular elliptic equations with unbounded lower order terms via sliding paraboloids
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通过滑动抛物面研究具有无界低阶项的简并奇异椭圆方程的 Harnack 不等式
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发表时间：
2016
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影响因子：
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通讯作者：
N. Le
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文献类型：
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作者：
N. Le
利用滑动抛物面方法建立了一类具有无界低阶项的线性退化奇异椭圆型方程的Harnack不等式。我们考虑的方程包括一致椭圆型方程和线性化的Monge-Ampere方程。我们的论点使我们能够证明的功能，在大梯度点，是解决方案（退化和奇异）椭圆方程无界漂移的加倍估计。
We use the method of sliding paraboloids to establish a Harnack inequality for linear, degenerate and singular elliptic equation with unbounded lower order terms. The equations we consider include uniformly elliptic equations and linearized Monge-Ampere equations. Our argument allows us to prove the doubling estimate for functions which, at points of large gradient, are solutions of (degenerate and singular) elliptic equations with unbounded drift.