Eigenfunctions for singular fully non linear equations in unbounded domains

Details Eigenfunctions for singular fully non linear equations in unbounded domains Eigenfunctions for singular fully non linear equations in unbounded domains

2009-04-10

arxiv.org/abs/0904.1720v1

Mathematics

Analysis of PDEs

30 pages 2 figures

Scientific paper

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.

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