This is a preview. Log in through your library . Abstract In this note, we show that in dimensions n ≥ 4 there exists a smooth bounded potential V such that (Δ + V)w = 0 has a positive solution u as ...
Mathematicians thought they were on the cusp of proving a conjecture about the ancient structures known as Apollonian circles. But a summer project would lead to its downfall. Summer Haag and Clyde ...
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