JournalsaihpcVol. 33, No. 1pp. 221–242

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
Qualitative analysis of rupture solutions for a MEMS problem cover
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Abstract

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