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Coffman
Charles V. Coffman, Professor Emeritus
Ph.D., Johns Hopkins University
E-mail: cc0b@home.com


Research:


The general areas of my research are ordinary- and partial-differential equations and functional analysis with emphasis on variational methods for linear and non-linear boundary-value problems. A particular interest of mine has been in the existence and uniqueness questions for a class of non-linear elliptic boundary-value problems that arise in mathematical physics. Another interest has been in boundary-value and eigenvalue problems for the biharmonic operator. Results obtained here pertain to the bending and vibration of a clamped plate and to stationary Stoke's flow in the plane.

Selected Publications:

  • Coffman, C.V. and Ziemer, W.K., "A Prescribed Mean Curvature Problem on Domains Without Radial Symmetry," SIAM Journal of Mathematical Analysis 22: 982990.
  • Coffman, C.V. (1986), "On the Construction of Series Solutions to the First Biharmonic Boundary Value Problem on a Rectangle," SIAM Journal of Mathematical Analysis 17:384402.
  • Coffman, C.V. and Marcus, M.M. (1983), "Existence Theorems for Superlinear Elliptic Dirichlet Problems in Exterior Domains," Nonlinear Functional Analysis and its Applications, Proceedings of Symposia in Pure Mathematics, Vol. 45.