Kondratiev, Vladimir A. and Oleinik, Olga A.:
Estimates near the boundary for second order derivatives of solutions of the Dirichlet problem for the biharmonic equation
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 80 (1986), fasc. n.7-12, p. 525-529, (English)
pdf (592 Kb), djvu (518 Kb). | MR 0976945 | Zbl 0675.35028
Sunto
Per ogni soluzione della (1) nel dominio limitato $\Omega$,, appartenente a $H_{0}^{2}(\Omega)$ e soddisfacente le condizioni (2), si dimostra la maggiorazione (5), valida nell'intorno di ogni punto $x^{0}$ del contorno; si consente a $\partial\Omega$ di essere singolare in $x^{0}$.
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