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Elliptic equations in weighted Sobolev spaces of infinite order with L1 data
Authors:Mostafa Bendahmane  Moussa Chrif  Said El Manouni
Institution:1. Faculty of Sciences, Department of Mathematics, Al‐Imam University, P. O. Box 90950, Riyadh 11623, Saudi Arabia;2. Faculty of Sciences DM, University of Fès, B.P. 1796 Atlas‐Fès, 30000, Morocco
Abstract:We deal with the existence and uniqueness of weak solutions for a class of strongly nonlinear boundary value problems of higher order with L1 data in anisotropic‐weighted Sobolev spaces of infinite order. Copyright © 2009 John Wiley & Sons, Ltd.
Keywords:anisotropic‐weighted Sobolev spaces  higher order  L1 data  sign condition  existence and uniqueness results
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