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Sturm theorems for degenerate elliptic equations
Authors:Walter Allegretto
Institution:Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
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.

Keywords:Picone's Identity  $p\text{-Laplacean}$  generalized solutions  Sturm Theorems
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