Constructs uncountably many pairwise conformally inequivalent non-rotationally symmetric type II ancient Yamabe flows on S^n (n≥3) via non-radial inner-outer gluing after stereographic projection.
On Brezis’ First Open Problem: A Complete Solution
2 Pith papers cite this work. Polarity classification is still indexing.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Two families of nodal solutions to the Yamabe equation are constructed concentrating along two planar circles, including a new twisted variant that attains maximal rank in dimension 3.
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Uncountably many non-rotationally symmetric type II ancient Yamabe flows on the sphere
Constructs uncountably many pairwise conformally inequivalent non-rotationally symmetric type II ancient Yamabe flows on S^n (n≥3) via non-radial inner-outer gluing after stereographic projection.
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Planar doubling nodal solutions to the Yamabe equation with maximal rank
Two families of nodal solutions to the Yamabe equation are constructed concentrating along two planar circles, including a new twisted variant that attains maximal rank in dimension 3.