Nonexistence of solutions to singular Q-curvature equations
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DOI: 10.1007/s00013-021-01644-7
Abstract: In this short note, we study the prescribed Q-curvature equation with a singularity at the origin in $${\mathbb {R}}^4$$ , namely, $$\begin{aligned} \Delta ^2u=(1-|x|^p)e^{4u}-c\delta _0\quad \text {in}\quad {\mathbb {R}}^4 \end{aligned}$$ under a finite volume condition,… read more here.
Keywords: nonexistence solutions; singular curvature; solutions singular; curvature equations ... See more keywords