Existence of axially symmetric $H$-surfaces of annulus type

J. Math. Sci. Univ. Tokyo
Vol. 2 (1995), No. 2, Page 251--290.

Haida, Minoru
Existence of axially symmetric $H$-surfaces of annulus type
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Abstract:
In this paper, we solve Plateau's problem for surfaces of constant mean curvature spanning two circular ( axially symmetric ) contours. To prove the existence of such surfaces, we use the Leray-Schauder degree theory.

Mathematics Subject Classification (1991): Primary 53A10
Mathematical Reviews Number: MR1366558

Received: 1994-02-17