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.
Ciraolo, G. (2014). A weak comparison principle for solutions of very degenerate elliptic equations. ANNALI DI MATEMATICA PURA ED APPLICATA, 193(5), 1485-1490 [10.1007/s10231-013-0339-5].
A weak comparison principle for solutions of very degenerate elliptic equations
CIRAOLO, Giulio
2014-01-01
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.
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