Continuity of weak solutions to rough infinitely degenerate equations
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We obtain a generalization of the DeGiorgi Lemma to the infinitely degenerate
regime and apply it to obtain continuity of weak solutions to certain
infinitely degenerate equations. This reproduces the continuity result obtained
in arXiv:1506.09203 via Moser iteration, but only for homogeneous equations.
However, the proofs are much less technical and more transparent.