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Global bifurcation diagrams and exact multiplicity of positive solutions for a one-dimensional prescribed mean curvature problem arising in MEMS
Affiliation:1. Department of Mathematics and Information Education, National Taipei University of Education, Taipei, 106, Taiwan, ROC;2. Department of Mathematics, National Tsing Hua University, Hsinchu, 300, Taiwan, ROC;1. Mathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Jiangsu University, China;1. Indian Institute of Geomagnetism, New Panvel (W), Navi Mumbai, India;2. University of the Western Cape, Robert Sobukwe Road, Bellville 7535, South Africa;1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, 541004, PR China;2. Department of Mathematics, Hunan First Normal University, Changsha, 410205, PR China;3. Department of Science, Guilin University of Aerospace Technology, Guilin, 541004, PR China;1. Department of Polymer Science & Engineering, Polymeric Nanomaterials Laboratory, School of Applied Chemical Engineering, Kyungpook National University, 1370 Sankyuk-dong, Buk-ku, Daegu 702–701, Republic of Korea;2. Advanced Photonics Research Institute, Gwangju Institute of Science and Technology, 1 Oryong-dong, Buk-gu, Gwangju, Republic of Korea;3. Department of Chemistry and Chemical Engineering, Graduate School of Science and Technology, Center for Transdisciplinary Research, Niigata University, Ikarashi 2-8050, Nishi-ku, Niigata 950-2181, Japan
Abstract:
Keywords:Prescribed mean curvature problem  Global bifurcation diagram  Exact multiplicity  Positive solution  MEMS
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