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arXiv · 1707.00187

Imbedding results in Musielak-Orlicz spaces with an application to anisotropic nonlinear Neumann problems

Ahmed Youssfi·Mohamed Mahmoud Ould Khatri
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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 $Δ_2$-condition. The uniqueness is also studied.

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Ahmed Youssfi, Mohamed Mahmoud Ould Khatri. 2018-01-04. Imbedding results in Musielak-Orlicz spaces with an application to anisotropic nonlinear Neumann problems. https://arxiv.org/abs/1707.00187

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