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Besov regularity estimates for the elliptic p(x)-Laplacian equation with the logarithmic growth
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2021-01-20 , DOI: 10.1016/j.jmaa.2021.124974 Ying Li , Fengping Yao
中文翻译:
具有对数增长的椭圆p(x)-Laplacian方程的Besov正则性估计。
更新日期:2021-01-25
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2021-01-20 , DOI: 10.1016/j.jmaa.2021.124974 Ying Li , Fengping Yao
In this paper we establish the local regularity estimates in Besov spaces of weak solutions for the elliptic -Laplacian equation with the logarithmic growth in divergence form under some proper assumptions on the functions and F. Moreover, it is worth noting that our results improve the known results for these types of equations.
中文翻译:
具有对数增长的椭圆p(x)-Laplacian方程的Besov正则性估计。
在本文中,我们在椭圆的弱解的Besov空间中建立了局部正则估计 -Laplacian方程,对数增长为散度形式 在适当的功能假设下 和˚F。此外,值得注意的是,我们的结果改进了这类方程的已知结果。