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math.AP2020★ 2 cited
Normal conformal metrics on with -curvature having power-like growth
Ali Hyder, Luca Martinazzi
Answering a question by M. Struwe (Vietnam J. Math. 2020) related to the blow-up behaviour in the Nirenberg problem, we show that the prescribed -curvature equation $$Δ^2 u=(1-|…
math.AP2020
Critical points of the Moser-Trudinger functional on closed surfaces
Francesca De Marchis, Andrea Malchiodi, Luca Martinazzi +1
Given a closed Riemann surface and any positive smooth weight, we use a minmax scheme together with compactness, quantization results and with sharp energy estimates to pro…