Differential Equations and Computational Simulations III
Electron. J. Diff. Eqns., Conf. 01, 1997, pp. 11-21.

Rotationally symmetric deformations of a spherical cap

John V. Baxley, & Stephen B. Robinson

Abstract:
We prove the existence and uniqueness of rotationally symmetric solutions to a nonlinear boundary value problem representing the elastic deformation of a spherical cap.

Published November 12, 1998.
Mathematics Subject Classifications: 34B15, 65L10.
Key words: singular nonlinear boundary value problems, existence and uniqueness, upper and lower solutions.

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John V. Baxley
Department of Mathematics and Computer Science
Wake Forest University
Winston-Salem, NC 27109. USA
E-mail address: baxley@mthcsc.wfu.edu

Stephen B. Robinson
Department of Mathematics and Computer Science
Wake Forest University
Winston-Salem, NC 27109. USA
E-mail address: robinson@mthcsc.wfu.edu

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