Uniqueness of Solutions for an Elliptic Equation Modeling MEMS
Esposito, Pierpaolo ; Ghoussoub, Nassif
Methods Appl. Anal., Tome 15 (2008) no. 1, p. 341-354 / Harvested from Project Euclid
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We show among other things, that for small voltage, the stable solution of the basic nonlinear eigenvalue problem modelling a simple electrostatic MEMS is actually the unique solution, provided the domain is star-shaped and the dimension is larger or equal than 3. In two dimensions, we need the domain to be either strictly convex or symmetric. The case of a power permittivity profile is also considered. Our results, which use an approach developed by Schaaf, extend and simplify recent results by Guo and Wei.
Publié le : 2008-09-15
Classification:  MEMS,  stable solutions,  quenching branch,  35J60,  35B32,  35D10,  35J20 
@article{1239396534,
     author = {Esposito, Pierpaolo and Ghoussoub, Nassif},
     title = {Uniqueness of Solutions for an Elliptic Equation Modeling MEMS},
     journal = {Methods Appl. Anal.},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 341-354},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1239396534}
}

Esposito, Pierpaolo; Ghoussoub, Nassif. Uniqueness of Solutions for an Elliptic Equation Modeling MEMS. Methods Appl. Anal., Tome 15 (2008) no. 1, pp.  341-354. http://gdmltest.u-ga.fr/item/1239396534/