A generalization of ''Existence and behavior of the radial limits of a bounded capillary surface at a corner''

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Issue Date
2018-02
Authors
Crenshaw, Julie N.
Echart, Alexandra K.
Lancaster, Kirk E.
Advisor
Citation

Crenshaw, Julie N.; Echart, Alexandra K.; Lancaster, Kirk E. 2018. A generalization of ''Existence and behavior of the radial limits of a bounded capillary surface at a corner''. Pacific Journal of Mathematics, vol. 292:no. 2:pp 355–371

Abstract

The principal existence theorem (i.e., Theorem 1) of "Existence and behavior of the radial limits of a bounded capillary surface at a corner" (Pacific J. Math. 176:1 (1996), 165-194) is extended to the case of a contact angle gamma which is not bounded away from 0 and pi (and depends on position in a bounded domain Omega is an element of R-2 with a convex corner at O = (0, 0)). The lower bound on the size of "side fans"(i.e., Theorem 2 in the above paper) is extended to the case of such contact angles for convex and nonconvex corners.

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