当前位置: X-MOL 学术Ann. Funct. Anal. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Some properties of Musielak spaces with only the log-Hölder continuity condition and application
Annals of Functional Analysis ( IF 1 ) Pub Date : 2020-04-03 , DOI: 10.1007/s43034-020-00069-7
Mustafa Ait Khellou , Abdelmoujib Benkirane , Sidi Mohamed Douiri

In this paper, we prove a density and a duality results in Musielak spaces, as well as an inequality of type Poincaré, assuming only the log-Hölder continuity condition. We will apply these results to give in non reflexive Musielak spaces the existence of solutions for some nonlinear parabolic problems with no continuous lower order terms.

中文翻译:

仅具有log-Hölder连续性条件的Musielak空间的某些性质和应用

在本文中,我们证明了Musielak空间中的密度和对偶结果,以及庞加莱类型的不等式,仅假设log-Hölder连续性条件。我们将应用这些结果为非自反Musielak空间提供某些非线性抛物线问题的解的存在,而这些问题没有连续的低阶项。
更新日期:2020-04-03
down
wechat
bug