Bifurcation diagram of a Robin boundary value problem arising in MEMS-Reference-Cited by-同舟云学术

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Bifurcation diagram of a Robin boundary value problem arising in MEMS

Published:2022-11-01 Issue:3 Volume:52 Page:
ISSN:0018-2079
Container-title:Hiroshima Mathematical Journal
language:
Short-container-title:Hiroshima Math. J.

Author:

Guo Jong-Shenq¹,Kavallaris Nikos I.²,Wang Chi-Jen³,Yu Cherng-Yih¹

Affiliation:

1. Department of Mathematics, Tamkang University, Tamsui, New Taipei City 251301, Taiwan

2. Department of Mathematics and Computer Science, Faculty of Health, Science and Technology, Karlstad University, SE-651 88 Karlstad, Sweden

3. Department of Mathematics, National Chung Cheng University, Minhsiung, Chiayi 62102, Taiwan

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference16 articles.

1. [1] O. Drosinou, N. I. Kavallaris and C. V. Nikolopoulos, A study of a nonlocal problem with Robin boundary conditions arising from technology, Math. Methods Appl. Sci., 44 (2021), 10084–10120.

2. [2] P. Esposito and N. Ghoussoub, Uniqueness of solutions for an elliptic equation modeling MEMS, Methods Appl. Anal., 15 (2008), 341–354.

3. [3] G. Flores, G. Mercado, J. A. Pelesko and N. Smyth, Analysis of the dynamics and touchdown in a model of electrostatic MEMS, SIAM J. Appl. Math., 67 (2007), 434–446.

4. [4] N. Ghoussoub and Y. Guo, On the partial differential equations of electrostatic MEMS devices: stationary case, SIAM J. Math. Anal., 38 (2007), 1423–1449.

5. [5] J.-S. Guo, On a quenching problem with the Robin boundary condition, Nonlinear Anal., 179 (1991), 803–809.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Robin Boundary Value Problem for Some Nonlinear Nonlocal Elliptic Partial Differential Equations;Springer Proceedings in Mathematics & Statistics;2024

2. A stochastic parabolic model of MEMS driven by fractional Brownian motion;Journal of Mathematical Biology;2023-04-11

3. On the impact of noise on quenching for a nonlocal diffusion model driven by a mixture of Brownian and fractional Brownian motions;Discrete and Continuous Dynamical Systems - S;2023

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