메뉴 건너뛰기




Volumn 38, Issue 5, 2006, Pages 1423-1449

On the partial differential equations of electrostatic MEMS devices: Stationary case

Author keywords

MEMS; Minimal solutions; Power law permittivity profile; Pull in voltage

Indexed keywords

BOUNDARY CONDITIONS; ELECTROSTATIC DEVICES; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PERMITTIVITY; PROBLEM SOLVING;

EID: 34547676625     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/050647803     Document Type: Article
Times cited : (141)

References (22)
  • 1
    • 84968466504 scopus 로고
    • Collocation software for boundary value ODE's
    • U. ASCHER, R. CHRISTIANSEN, AND R. RUSSELL, Collocation software for boundary value ODE's, Math. Comp., 33 (1979), pp. 659-679.
    • (1979) Math. Comp , vol.33 , pp. 659-679
    • ASCHER, U.1    CHRISTIANSEN, R.2    RUSSELL, R.3
  • 2
    • 0003312088 scopus 로고
    • Isoperimetric inequalities and applications
    • Pitman, Boston
    • C. BANDLE, Isoperimetric inequalities and applications, in Monographs and Studies in Mathematics, Pitman, Boston, 1980, pp. 184-196.
    • (1980) Monographs and Studies in Mathematics , pp. 184-196
    • BANDLE, C.1
  • 4
    • 20744454866 scopus 로고
    • Sur une classe de problèmes elliptiques non linéaires
    • C.-M. BRAUNER AND B. NICOLAENKO, Sur une classe de problèmes elliptiques non linéaires, C.R. Acad. Sci. Paris Sér. A, (1978), pp. 1007-1010.
    • (1978) C.R. Acad. Sci. Paris Sér. A , pp. 1007-1010
    • BRAUNER, C.-M.1    NICOLAENKO, B.2
  • 5
    • 0001471516 scopus 로고    scopus 로고
    • Blow-up solutions of some nonlinear elliptic problems
    • H. BREZIS AND J. L. VAZQUEZ, Blow-up solutions of some nonlinear elliptic problems, Rev. Mat. Univ. Compl. Madrid, 10 (1997), pp. 443-469.
    • (1997) Rev. Mat. Univ. Compl. Madrid , vol.10 , pp. 443-469
    • BREZIS, H.1    VAZQUEZ, J.L.2
  • 7
    • 0015746829 scopus 로고
    • Bifurcation, perturbation of simple eigenvalues and linearized stability
    • M. G. CRANDALL AND P. H. RABINOWITZ, Bifurcation, perturbation of simple eigenvalues and linearized stability, Arch. Ration. Mech. Anal., 52 (1973), pp. 161-180.
    • (1973) Arch. Ration. Mech. Anal , vol.52 , pp. 161-180
    • CRANDALL, M.G.1    RABINOWITZ, P.H.2
  • 8
    • 0016643640 scopus 로고
    • Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
    • M. G. CRANDALL AND P. H. RABINOWITZ, Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems, Arch. Ration. Mech. Anal., 58 (1975), pp. 207-218.
    • (1975) Arch. Ration. Mech. Anal , vol.58 , pp. 207-218
    • CRANDALL, M.G.1    RABINOWITZ, P.H.2
  • 9
    • 44449129772 scopus 로고    scopus 로고
    • Compactness along the branch of semi-stable and unstable solutions for an elliptic problem with a singular nonlinearity
    • to appear
    • P. ESPOSITO, N. GHOUSSOUB, AND Y. GUO, Compactness along the branch of semi-stable and unstable solutions for an elliptic problem with a singular nonlinearity, Comm. Pure Appl. Math., (2006), to appear.
    • (2006) Comm. Pure Appl. Math
    • ESPOSITO, P.1    GHOUSSOUB, N.2    GUO, Y.3
  • 11
    • 34648842583 scopus 로고    scopus 로고
    • On the partial differential equations of electrostatic MEMS devices II
    • submitted
    • N. GHOUSSOUB AND Y. GUO, On the partial differential equations of electrostatic MEMS devices II: Dynamic case, submitted, 2006.
    • (2006) Dynamic case
    • GHOUSSOUB, N.1    GUO, Y.2
  • 12
    • 33644599759 scopus 로고    scopus 로고
    • Touchdown and pull-in voltage behavior of a MEMS device with varying dielectric properties
    • Y. GUO, Z. PAN, AND M. J. WARD, Touchdown and pull-in voltage behavior of a MEMS device with varying dielectric properties, SIAM J. Appl. Math., 66 (2005), pp. 309-338.
    • (2005) SIAM J. Appl. Math , vol.66 , pp. 309-338
    • GUO, Y.1    PAN, Z.2    WARD, M.J.3
  • 13
    • 0001409903 scopus 로고
    • Non-uniqueness for a Semilinear initial value problem
    • A. HARAUX AND F. B. WEISSLER, Non-uniqueness for a Semilinear initial value problem, Indiana Univ. Math. J., 31 (1982), pp. 167-189.
    • (1982) Indiana Univ. Math. J , vol.31 , pp. 167-189
    • HARAUX, A.1    WEISSLER, F.B.2
  • 14
    • 0015557517 scopus 로고
    • Quasilinear Dirichlet problems driven by positive sources
    • D. D. JOSEPH AND T. S. LUNDGREN, Quasilinear Dirichlet problems driven by positive sources, Arch. Ration. Mech. Anal., 49 (1973), pp. 241-268.
    • (1973) Arch. Ration. Mech. Anal , vol.49 , pp. 241-268
    • JOSEPH, D.D.1    LUNDGREN, T.S.2
  • 15
    • 0001723872 scopus 로고
    • Positive solutions of convex nonlinear eigenvalue problems
    • J. P. KEENER AND H. B. KELLER, Positive solutions of convex nonlinear eigenvalue problems, J. Differential Equations, 16 (1974), pp. 103-125.
    • (1974) J. Differential Equations , vol.16 , pp. 103-125
    • KEENER, J.P.1    KELLER, H.B.2
  • 16
    • 0000001778 scopus 로고    scopus 로고
    • Uniqueness of weak extremal solutions of nonlinear elliptic problems
    • Y. MARTEL, Uniqueness of weak extremal solutions of nonlinear elliptic problems, Houston J. Math., 23 (1997), pp. 161-168.
    • (1997) Houston J. Math , vol.23 , pp. 161-168
    • MARTEL, Y.1
  • 17
    • 84972948243 scopus 로고
    • Sur une classe de problèmes non linéaires avec non linéarité positive, croissante, convexe
    • F. MLGNOT AND J. P. PUEL, Sur une classe de problèmes non linéaires avec non linéarité positive, croissante, convexe, Comm. Partial Differential Equations, 5 (1980), pp. 791-836.
    • (1980) Comm. Partial Differential Equations , vol.5 , pp. 791-836
    • MLGNOT, F.1    PUEL, J.P.2
  • 19
    • 0036302150 scopus 로고    scopus 로고
    • Mathematical modeling of electrostatic MEMS with tailored dielectric properties
    • J. A. PELESKO, Mathematical modeling of electrostatic MEMS with tailored dielectric properties, SIAM J. Appl. Math., 62 (2002), pp. 888-908.
    • (2002) SIAM J. Appl. Math , vol.62 , pp. 888-908
    • PELESKO, J.A.1
  • 22
    • 0011908465 scopus 로고
    • The coalescence of closely spaced drops when they are at different electric potentials
    • G. I. TAYLOR, The coalescence of closely spaced drops when they are at different electric potentials, Proc. Roy. Soc. A, 306 (1968), pp. 423-434.
    • (1968) Proc. Roy. Soc. A , vol.306 , pp. 423-434
    • TAYLOR, G.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.