A weak comparison principle for solutions of very degenerate elliptic equations

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3 Citations (Scopus)

Abstract

We prove a comparison principle for weak solutions of elliptic quasilinear equations in divergence form whose ellipticity constants degenerate at every point where $∇u∈K$ , where $K⊂R^N$ is a Borel set containing the origin.
Original languageEnglish
Pages (from-to)1485-1490
Number of pages6
JournalAnnali di Matematica Pura ed Applicata
Volume193
Publication statusPublished - 2014

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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