# 臺灣博碩士論文加值系統

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 This paper is devoted to a class of elliptic problemswith 0 < u(x) < 1 in a bounded domain  RN(N  1): Hence  and p are positiveparameters and f(x) 2 C() is a nonnegative function. By the sub-super solutionsmethod we show that there exists a critical parameter  = (; p; f) such that (S)has at least one solution including a unique minimal solution for  2 (0; ) and nosolution for  > : Moreover we get the rigorous bounds on : We also discussproperties of minimal solutions of (S) including regularity and monotonicity.
 1 Introduction.2 The pull-in voltage. 2-1 Existence of the pull-in voltage. 2-2 Monotonicity results for pull-in voltage.3 Estimates for the pull-in voltage. 3.1 Lower bounds for λ* 3.2 Upper bounds for λ*4 The branch of minimal solutions. 4-1 Spectral properties of minimal solutions.
 References[1] B. Gidas, W.M. Ni, L. Nirenberg, Symmetry and related properties via the maximumprinciple, Commun. Math. Phys. 68 (1979) 209-243.[2] C. Bandle, Isoperimetric inequalities and applications, in: Monographs and Studiesin Mathematics, Pitman, Boston, MA, London, 1980.[3] D. Bernstein, P. Guidotti, J.A. Pelesko, Analytic and numerical analysis of elec-trostatically actuated MEMS devices, Proc. Model. Simul. Microsyst. 2000 (2000)489-492.[4] D.D. Joseph, T.S. Lundgren, Quasilinear Dirichlet problems driven by positivesources, Arch. Ration. Mech. Anal. 49 (1973) 241-268.[5] E. Koizumi, K. Schmitt, Ambrosetti-Prodi-type problems for quasilinear elliptic equa-tions, Differential Integral Equat. 18 (3) (2005) 241-262.[6] G. Flores, G. A. Mercado, And J. A. Pelesko, Dynamics and touchdown in elec-trostatic MEMS, in Proceedings of the Internationsl Conference on MEMS, Nano,and Smart Systems (ICMENS 2003) Ban, AB, 2003, IEEE Computer Soicety Press,Piscataway, NJ, pp. 182-187.[7] G.I. Taylor, The coalescence of closely spaced drops when they are at different electric potentials, Proc. R. Soc. A 306 (1968) 423-434.[8] H.C. Nathanson, W.E. Newell, R.A. Wickstrom, J.R. Davis, The resonant gate tran-sistor, IEEE Trans. Electron. Dev. 14 (1967) 117-133.[9] I. Stackgold, Green's Functions and Boundary Value Problems, Wiley, New York,1998.[10] J.A. Pelesko, A.A Triolo, Nonlocal problems in MEMS device control, J. Eng. Math.41 (4) (2001) 345-366.[11] J.A. Pelesko, D.H. Bernstein, Modeling MEMS and MEMS, Chapman Hall and CRCPress, 2002.[12] J.A. Pelesko, Mathematical modeling of electrostatic MEMS with tailored dielectric properties, SIAM J. Appl. Math. 62 (3) (2002) 888-908.[13] M.G. Crandall, P.H. Rabinowitz, Bifurcation, perturbation of simple eigenvalues and linearized stability, Arch. Ration. Mech. Anal. 52 (1973) 161-180.[14] M.G. Crandall, P.H. Rabinowitz, Some continuation and variational methods forpositive solutions of nonlinear elliptic eigenvalue problems, Arch. Ration. Mech. Anal.58 (1975) 207-218.[15] M.T.A. Saif, B.E. Analyical modeling electrostatic membrane actuator micropumps,IEEE J. MEMS (8) (1999) 335-344.[16] N. Ghoussoub, Y. Guo, On the partial dierential equations of electrostatic MEMS devices: stationary case, preprint (2005).[17] N. Ghoussoub, Y. Guo, On the partial dierential equations of electrostatic MEMS devices II: dynamic case, NoDEA Nonlinear Dierential Equations. Appl, to appear.[18] N. Ghoussoub, Y. Guo, on the partial of electrostatic MEMS devices III: renedtouchdown behavior, in preparation.[19] P. Esposito, N. Ghoussoub, Y. Guo, Compactness along the rst branch of unstable solutions for an elliptic problem with a singular nonlinearity, preprint (2005).[20] R.E. Bank, PLTMG: A Software Package for Solving Elliptic Partial Equations, Uer's Guide 8.0, Software, Environments, and Tools, SIAM, Philadelphia, PA, 1998, xi+110 pages.[21] S. Filippas, R.V. Kohn, Rened asymptotics for the blow up of ut
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