Sturm theorems for degenerate elliptic equations

Allegretto, Walter

doi:10.1090/S0002-9939-01-05979-2

Sturm theorems for degenerate elliptic equations
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Proc. Amer. Math. Soc. 129 (2001), 3031-3035 Request permission

Abstract:

We employ a version of the Picone Identity, suitable for the $p$-Laplacean, to obtain a Sturm Comparison Theorem for generalized solutions. This answers a question posed by Dunninger in 1995.

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