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arXiv 1902.01296math.AP
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特殊区域上的方向椭圆性:弱极大值原理和Phragmèn-Lindelöf原理

Directional ellipticity on special domains: weak Maximum and Phragmèn-Lindelöf principles

Italo Capuzzo Dolcetta, Antonio Vitolo

摘要:

证明了柱型无界子域$Ω\subset \mathbb R^n$上一类完全非线性算子的最大值原理的有效性。主要的结构假设是沿着$Ω$的有界方向的算子的一致椭圆性,沿着无界方向可能退化。

英文摘要:

We prove the validity of maximum principles for a class of fully nonlinear operators on unbounded subdomains $Ω\subset \mathbb R^n$ of cylindrical type. The main structural assumption is the uniform ellipticity of the operator along the bounded directions of $Ω$, with possible degeneracy along the unbounded directions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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