Regularity in a Singular Biharmonic Dirichlet Problem

• Autores: Anders Olofsson
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 148, Nº 3, 2006, págs. 229-239
• Idioma: inglés
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• Resumen

  • 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.