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Singular boundary conditions and regularity for the biharmonic problem in the half-space

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  • In this paper, we are interested in some aspects of the biharmonic equation in the half-space $\mathbb R^N_+$, with $N\geq 2$. We study the regularity of generalized solutions in weighted Sobolev spaces, then we consider the question of singular boundary conditions. To finish, we envisage other sorts of boundary conditions.
    Mathematics Subject Classification: 35D05, 35D10, 35J35, 35J40.


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