Continuous imbedding in Musielak spaces with an application to anisotropic nonlinear Neumann problems

Electronic Journal of Differential Equations

article

Ahmed Youssfi¹  Mohamed Mahmoud Ould Khatri² 

[1] University Sidi Mohamed Ben Abdellah Laboratory of Mathematical Analysis and Applications National School of Applied Sciences P.O. Box 72 Fès-Principale;University Sidi Mohamed Ben Abdellah National School of Applied Sciences P.O. Box 72 Fès-Principale

关键词: Musielak-Orlicz space;    imbedding;    boundary trace imbedding;    weak solution;    minimizer.;   

DOI  :  10.58997/ejde.2021.26

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

We prove a continuous embedding that allows us to obtain a boundary trace imbeddingresult for anisotropic Musielak-Orlicz spaces, which we then apply to obtain anexistence result for Neumann problems with nonlinearities on the boundary associatedto some anisotropic nonlinear elliptic equations in Musielak-Orlicz spaces constructedfrom Musielak-Orlicz functions on which and on their conjugates we do not assume theΔ2-condition. The uniqueness of weak solutions is also studied.

【 授权许可】

CC BY