We investigate various properties of time maps for one-dimensional prescribed mean curvature equations. Using these properties, we obtain some exact multiplicity results of positive solutions and sign-changing solutions. As it turned out, these quasilinear problems show many different phenomena from
โฆ LIBER โฆ
Exact multiplicity results for a one-dimensional prescribed mean curvature problem related to MEMS models
โ Scribed by Hongjing Pan; Ruixiang Xing
- Book ID
- 113824135
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 368 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1468-1218
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We consider non-classical solutions of the quasilinear boundary value problem where ฮป and L are positive parameters. We give complete descriptions of the structure of bifurcation curves and determine the exact numbers of positive non-classical solutions of the model problems for various nonlinearit