@Article{JPDE-37-417,
author = {Ma , Pan and Zhu , Maochun},
title = {Adams-Onofri Inequality with Logarithmic Weight and the Associated Mean Field Bi-Harmonic Equation},
journal = {Journal of Partial Differential Equations},
year = {2024},
volume = {37},
number = {4},
pages = {417--426},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v37.n4.4},
url = {http://global-sci.org/intro/article_detail/jpde/23689.html}
}