Radial regular and rupture solutions for a MEMS model with fringing field
| Autor: | Ghergu, Marius, Miyamoto, Yasuhito |
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| Rok vydání: | 2020 |
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| Zdroj: | Proc. Amer. Math. Soc. 150 (2022), 1697-1709 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1090/proc/15861 |
| Popis: | We investigate radial solutions for the problem \[ \begin{cases} \displaystyle -\Delta U=\frac{\lambda+\delta|\nabla U|^2}{1-U},\; U>0 & \textrm{in}\ B,\\ U=0 & \textrm{on}\ \partial B, \end{cases} \] which is related to the study of Micro-Electromechanical Systems (MEMS). Here, $B\subset \mathbb{R}^N$ $(N\geq 2)$ denotes the open unit ball and $\lambda, \delta>0$ are real numbers. Two classes of solutions are considered in this work: (i) {\it regular solutions}, which satisfy $0 Comment: 14 pages |
| Databáze: | arXiv |
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