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Coercivity of elliptic mixed boundary value problems in annulus of $\mathbb{R}^N$

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  • In this paper is proved that the Strong Maximum Principle is satisfied for a wide class of linear elliptic boundary value problems of mixed type in an annulus of $\mathbb{R}^N$, $N\geq 1$, provided it is thin enough. The coercive character of these boundary value problems is obtained thanks to the characterization of the Strong Maximum Principle found in [3], proving that the principal eigenvalue associated to each boundary value problem may be as large as we wish, independently of the weight on the boundary, by taking the annulus thin enough.
    Mathematics Subject Classification: Primary: 34B18, 35P15; Secondary: 34B15, 34B05.


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