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Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.

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Questions on a cone defined by elementary symmetric functions

Let $1\le k\le n$ be given integers. Define the following cone $$\Gamma_k=\{\lambda\in\mathbb{R}^n| S_j(\lambda)>0, j=1, ..., k\},$$ where $S_j(\lambda)$ is the $j$th elementary symmetric function of …