Year: 2024
Author: Pan Ma, Maochun Zhu
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 4 : pp. 417–426
Abstract
This paper is devoted to establishing the Adams-Onofri inequality with logarithmic weight for the second order radial Sobolev space defined on the unit ball in $\mathbb{R}^4.$ By using this inequality we obtain the existence of solutions for mean field biharmonic equation with logarithmic weight.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v37.n4.4
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 4 : pp. 417–426
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Adams-Onofri inequality Logarithmic weight mean field equation existence.