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- W4224992241 abstract "In this paper, we consider the prescribed Q-curvature equation with a singularityΔ2u=|x|−αK(x)e4uinR4,Λ=∫R4|x|−αK(x)e4udx<+∞. First, we prove that all solutions are radially symmetric for 0<α<4, K>0 constant and Λ=16π2(1−α4). Next, some blow-up results have been studied by using a classification result for K>0 constant and 0<α<4. Finally, we show that equation with K(x)=(1−|x|p) and 0<α<4 has normal solutions (namely solutions which can be written in integral form) if and only if p∈(0,4−α) and8π2(1+p−α4)≤Λ<16π2(1−α4)." @default.
- W4224992241 created "2022-04-28" @default.
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- W4224992241 date "2022-08-01" @default.
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- W4224992241 title "Normal conformal metrics on <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.svg><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math> with singular Q-curvature having power-like growth" @default.
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- W4224992241 doi "https://doi.org/10.1016/j.jde.2022.04.018" @default.
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