Nonlinear Eigenvalue Problems of MEMS

description to be written; pictures and movies

• Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying Dielectric Properties
  with Y. Guo and Z. Pan (SIAM J. Appl. Math., Vol. 66, No. 1, (2006), pp. 309-338.)

• Asymptotics of Some Nonlinear Eigenvalue Problems for a MEMS Capacitor: Part I: Fold Point Asymptotics
  with A. Lindsay (Methods and Applications of Analysis, Vol. 15, No. 3, (2008), pp. 297-326.)

• Asymptotics of Some Nonlinear Eigenvalue Problems for a MEMS Capacitor: Part II: Multiple Solutions and Singular Asymptotics
  with A. Lindsay (Europ. J. Appl. Math., Vol. 22, No. 2, (2010), pp. 83-123.)

• Asymptotic Analysis of Localized Solutions to Some Linear and Nonlinear Biharmonic Eigenvalue Problems
  with A. Lindsay and M.C. Kropinski (Studies in Appl. Math., Vol. 126, No. 4, (2011), pp. 347-408).