We prove a comparison principle for weak solutions of elliptic quasilinear equations in divergence form whose ellipticity constants degenerate at every point where del u is an element of K, where K subset of R-N is a Borel set containing the origin.
A weak comparison principle for solutions of very degenerate elliptic equations / G. Ciraolo. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 193:5(2014), pp. 1485-1490.
A weak comparison principle for solutions of very degenerate elliptic equations
G. Ciraolo
2014
Abstract
We prove a comparison principle for weak solutions of elliptic quasilinear equations in divergence form whose ellipticity constants degenerate at every point where del u is an element of K, where K subset of R-N is a Borel set containing the origin.
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