Global bifurcation curves for fourth-order MEMS/NEMS models II
Analysis of PDEs
2025-11-04 v3 Mathematical Physics
Classical Analysis and ODEs
Functional Analysis
math.MP
Abstract
Global solution curve and exact multiplicity of positive solutions for a class of fourth-order beam equations with clamped boundary conditions are derived. The results extend atheorem of P. Korman (2004) by allowing the presence of a singularity in the nonlinearity. The paper also establishes an a priori estimate for C^3-norm of positive solutions, which is optimal in Holder regularity. Applications to MEMS/NEMS models are presented.
Keywords
Cite
@article{arxiv.2412.18427,
title = {Global bifurcation curves for fourth-order MEMS/NEMS models II},
author = {Manting Lin and Hongjing Pan},
journal= {arXiv preprint arXiv:2412.18427},
year = {2025}
}