Youssfi, AhmedKhatri, Mohamed Mahmoud Ould2021-08-232021-08-232021-04-05Youssfi, 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. 1-28.1072-6691https://hdl.handle.net/10877/14423We 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.Text28 pages1 file (.pdf)enAttribution 4.0 InternationalMusielak-Orlicz spaceImbeddingBoundary trace imbeddingWeak solutionMinimizerArticle