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

Karl K. Brustad

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arXiv · 2008.08399

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

Karl K. Brustad

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Abstract

We consider the comparison principle for semicontinuous viscosity sub- and supersolutions of second order elliptic equations on the form $F(D^2 w,x) = 0$. 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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Karl K. Brustad. 2020-08-19. On the comparison principle for second order elliptic equations without first and zeroth order terms. https://arxiv.org/abs/2008.08399

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