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math.AP2018
On a nonlinear eigenvalue problem for generalized Laplacian in Orlicz-Sobolev spaces
Ahmed Youssfi, Mohamed Mahmoud Ould Khatri
We consider a nonlinear eigenvalue problem for some elliptic equations governed by general operators including the -Laplacian. The natural framework in which we consider such eq…
math.AP2017
Imbedding results in Musielak-Orlicz spaces with an application to anisotropic nonlinear Neumann problems
Ahmed Youssfi, Mohamed Mahmoud Ould Khatri
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…