Eigenfunctions for singular fully non linear equations in unbounded domains

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In this paper we prove some Harnack inequality for fully non linear degenerate elliptic equations, in the two dimensional case, extending the results of Davila Felmer and Quaas in the singular case but in all dimensions. We then apply this result for the existence of an eigenfunction in smooth bounded domain.
30 pages 2 figures

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Analysis of PDEs, 35J40, 37J70

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http://salesiana.dossiersoluciones.com/handle/123456789/226463

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.1720
 http://arxiv.org/abs/0904.1720

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arXiv