Global bifurcation curves for fourth-order MEMS/NEMS models II
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917053950066688 |
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| author | Lin, Manting Pan, Hongjing |
| author_facet | Lin, Manting Pan, Hongjing |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18427 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global bifurcation curves for fourth-order MEMS/NEMS models II Lin, Manting Pan, Hongjing Analysis of PDEs Mathematical Physics Classical Analysis and ODEs Functional Analysis 34B18, 34C23, 74G35, 74K10 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. |
| title | Global bifurcation curves for fourth-order MEMS/NEMS models II |
| topic | Analysis of PDEs Mathematical Physics Classical Analysis and ODEs Functional Analysis 34B18, 34C23, 74G35, 74K10 |
| url | https://arxiv.org/abs/2412.18427 |