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blow-up phenomena 1conformal geometry 1ellipticity 1nonlinear pde 1sigma_2-yamabe equation 1sphere metrics 1

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math.DG2026

Blow-up phenomena for the -Yamabe equation

Bin Deng, Han Lu, Jun-cheng Wei

The authors construct smooth, antipodally symmetric metrics on high‑dimensional spheres (n ≥ 27) for which the normalized σ₂‑Yamabe equation admits a non‑compact family of positive…