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A New Proof of the Phragmén–Lindelöf Theorem for Fully Nonlinear Equations
Milan Journal of Mathematics ( IF 1.2 ) Pub Date : 2017-10-07 , DOI: 10.1007/s00032-017-0272-y
J. Ederson M. Braga

In this note we present a new proof for the following Phragmen–Lindelöf type result: If \({{0 \leq u \in S_{\lambda,\Lambda}}}\) in the half space \({H^{+}_{n}}\) and u vanishes on the boundary \({\partial H^{+}_{n}}\), then necessarily \(u(x) = u(e_{n}) \cdot x_{n}\).

中文翻译:

完全非线性方程Phragmén-Lindelöf定理的新证明

在本注释中,我们为以下Phragmen–Lindelöf类型的结果提供了新的证明:如果\({{0,leq u \ in S _ {\ lambda,\ Lambda}}} \)位于半角空格\({H ^ { +} _ {n}} \),u在边界\({\ partial H ^ {+} _ {n}} \)上消失,则必然\(u(x)= u(e_ {n})\ cdot x_ {n} \)
更新日期:2017-10-07
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