Article
Full entry |
PDF
(0.3 MB)
Feedback
PDF
(0.3 MB)
Feedback
Keywords:
the Laplace equation; weighted Sobolev spaces; the half space; existence; uniqueness; regularity
the Laplace equation; weighted Sobolev spaces; the half space; existence; uniqueness; regularity
Summary:
References:
[1] C. Amrouche, V. Girault, J. Giroire: Weighted Sobolev spaces for Laplace’s equation in $\mathbb{R}^N$. J. Math. Pures Appl. 73 (1994), 579–606. MR 1309165
[2] T. Z. Boulmezaoud: Espaces de Sobolev avec poids pour l’équation de Laplace dans le demi-espace. C. R. Acad. Sci. Paris, Ser. I 328 (1999), 221–226. MR 1674531 | Zbl 0924.35033
[3] B. Hanouzet: Espaces de Sobolev avec poids. Application au problème de Dirichlet dans un demi-espace. Rend. Sem. Univ. Padova 46 (1971), 227–272. MR 0310417
[4] V. G. Maz’ya, B. A. Plamenevskii, L. I. Stupyalis: The three-dimensional problem of steady-state motion of a fluid with a free surface. Amer. Math. Soc. Transl. 123 (1984), 171–268.
[5] C. C. Simader, H. Sohr: The Dirichlet Problem for the Laplacian in Bounded and Unbounded Domains. Pitman Research Notes in Matehmatics Series 360, Addison Wesley Longman, Harlow, Great Britain, 1996. MR 1454361
Search
Partner of
