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The principle existence theorem (i.e. Theorem 1) of "Existence and Behaviorof the Radial Limits of a Bounded Capillary Surface at a Corner" (Pacific J.Math. Vol. 176, No. 1 (1996), 165-194) is extended to the case of a contactangle $\gamma$ which is not bounded away from $0$ and $\pi$ (and depends onposition in a bounded domain $\Omega\in {\bf R}^{2}$ with a convex corner at${\cal O}=(0,0)$). The lower bound on the size of "side fans" (i.e. Theorem 2in the above paper) is extended to case of such contact angles for convex andnonconvex corners.

A Generalization of "Existence and Behavior of the Radial Limits of a Bounded Capillary Surface at a Corner"