On the comparison principle for second order elliptic equations without first and zeroth order terms

Published 19 Aug 2020 in math.AP | (2008.08399v5)

Abstract: We consider the comparison principle for semicontinuous viscosity sub- and supersolutions of second order elliptic equations on the form $F(D² w,x) = 0$. A structural condition on the operator is presented that seems to unify the different existing theories. A new result is obtained and the proofs of the classical results are simplified.

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Authors (1)

Karl K. Brustad

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