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Resumen de Regularity in a Singular Biharmonic Dirichlet Problem

Anders Olofsson

  • We consider the singular biharmonic equation with Dirichlet boundary conditions u = f0 and ?nu = f1 on . In our setup the boundary values fj (j = 0,1) are elements in two homogeneous Banach spaces Bj (j = 0,1) on . We give a sufficient condition on the spaces Bj (j = 0,1) to ensure that the solution u of this Dirichlet problem has the appropriate boundary values fj (j = 0,1) in the sense of convergence in spaces Bj (j = 0,1). Our results also apply in the unweighted case.


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