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
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。