Continuous imbedding in Musielak spaces with an application to anisotropic nonlinear Neumann problems
Date
2021-04-05
Authors
Youssfi, Ahmed
Khatri, Mohamed Mahmoud Ould
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We prove a continuous embedding that allows us to obtain a boundary trace imbedding result for anisotropic Musielak-Orlicz spaces, which we then apply to obtain an existence result for Neumann problems with nonlinearities on the boundary associated to some anisotropic nonlinear elliptic equations in Musielak-Orlicz spaces constructed from Musielak-Orlicz functions on which and on their conjugates we do not assume the Δ2-condition. The uniqueness of weak solutions is also studied.
Description
Keywords
Musielak-Orlicz space, Imbedding, Boundary trace imbedding, Weak solution, Minimizer
Citation
Youssfi, A., Mahmoud, M., & Khatri, O. (2021). Continuous imbedding in Musielak spaces with an application to anisotropic nonlinear Neumann problems. <i>Electronic Journal of Differential Equations, 2021</i>(26), pp. 1-28.
Rights
Attribution 4.0 International