Geodesic
Narrow domains and the Harnack inequality for elliptic equations
Algebra i analiz, Tome 27 (2015) no. 3, pp. 220-237.

Voir la notice de l'article provenant de la source Math-Net.Ru

We present a direct proof of Moser's Harnack inequality that does not involve iterations. The method is based on a recursive estimate for solutions in domains of small measure. Such estimates can also be useful for other applications.
Keywords: second-order elliptic equations, Harnack inequality, measurable coefficients. 
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M. V. Safonov. Narrow domains and the Harnack inequality for elliptic equations. Algebra i analiz, Tome 27 (2015) no. 3, pp. 220-237. http://geodesic.mathdoc.fr/item/AA_2015_27_3_a10/

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