Qualitative analysis of rupture solutions for a MEMS problem

  • Juncheng Wei

    Department of Mathematics, Chinese University of Hong Kong, Shatin, Hong Kong, Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
  • Juan Dávila

    Departamento de Ingeniería Matemática and CMM, Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile
  • Kelei Wang

    Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China


We prove sharp Hölder continuity and an estimate of rupture sets for sequences of solutions of the following nonlinear problem with negative exponent

As a consequence, we prove the existence of rupture solutions with isolated ruptures in a bounded convex domain in .

Cite this article

Juncheng Wei, Juan Dávila, Kelei Wang, Qualitative analysis of rupture solutions for a MEMS problem. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 1, pp. 221–242

DOI 10.1016/J.ANIHPC.2014.09.009