In this paper, we give an approximation result in some anisotropic Sobolev space. We also describe the action of some distributions in the dual and we mention two applications to some strongly nonlinear anisotropic elliptic boundary value problems.
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Mostafa Bendahmane, Moussa Chrif, Said El Manouni, An Approximation Result in Generalized Anisotropic Sobolev Spaces and Applications. Z. Anal. Anwend. 30 (2011), no. 3, pp. 341–353DOI 10.4171/ZAA/1438