메뉴 건너뛰기




Volumn 78, Issue 1, 2008, Pages 21-35

Infinitely many turning points for an elliptic problem with a singular non-linearity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 47949083734     PISSN: 00246107     EISSN: 14697750     Source Type: Journal    
DOI: 10.1112/jlms/jdm121     Document Type: Article
Times cited : (41)

References (23)
  • 1
    • 12744276342 scopus 로고
    • On nonlinear eigenvalue problems which extend into free boundaries problems
    • Bifurcation and nonlinear eigenvalue problems, Springer, Berlin
    • C.-M. BRAUNER and B. NICOLAENKO, 'On nonlinear eigenvalue problems which extend into free boundaries problems', Bifurcation and nonlinear eigenvalue problems, Lecture Notes in Mathematics 782 (Springer, Berlin, 1980) 61-100.
    • (1980) Lecture Notes in Mathematics , vol.782 , pp. 61-100
    • BRAUNER, C.-M.1    NICOLAENKO, B.2
  • 4
    • 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) 161-180.
    • (1973) Arch. Ration. Mech. Anal , vol.52 , pp. 161-180
    • CRANDALL, M.G.1    RABINOWITZ, P.H.2
  • 5
    • 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) 207-218.
    • (1975) Arch. Ration. Mech. Anal , vol.58 , pp. 207-218
    • CRANDALL, M.G.1    RABINOWITZ, P.H.2
  • 6
    • 0012982621 scopus 로고    scopus 로고
    • Infinitely many turning points for some supercritical problems
    • E. N. DANCER, 'Infinitely many turning points for some supercritical problems', Ann. Mat. Pura Appl. CLXXVIII (2000) 225-233.
    • (2000) Ann. Mat. Pura Appl , vol.178 , pp. 225-233
    • DANCER, E.N.1
  • 8
    • 36248990914 scopus 로고    scopus 로고
    • Compactness along the branch of semi-stable and unstable solutions for an elliptic problem with a singular nonlinearity
    • 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. 60 (2007) 1731-1768.
    • (2007) Comm. Pure Appl. Math , vol.60 , pp. 1731-1768
    • ESPOSITO, P.1    GHOUSSOUB, N.2    GUO, Y.3
  • 10
    • 34547676625 scopus 로고    scopus 로고
    • On the partial differential equations of electrostatic MEMS devices: Stationary case
    • N. GHOUSSOUB and Y. GUO, 'On the partial differential equations of electrostatic MEMS devices: stationary case', SIAM J. Math. Anal. 38 (2007) 1423-1449.
    • (2007) SIAM J. Math. Anal , vol.38 , pp. 1423-1449
    • GHOUSSOUB, N.1    GUO, Y.2
  • 12
    • 47949089760 scopus 로고    scopus 로고
    • On the partial differential equations of electrostatic MEMS devices III: Refined touchdown behavior
    • Preprint
    • N. GHOUSSOUB and Y. GUO, 'On the partial differential equations of electrostatic MEMS devices III: refined touchdown behavior', Preprint.
    • GHOUSSOUB, N.1    GUO, Y.2
  • 13
    • 33747798963 scopus 로고    scopus 로고
    • Positive solutions of a semilinear elliptic equation with singular nonlinearity
    • H. X. GUO, Z. M. GUO and K. LI, 'Positive solutions of a semilinear elliptic equation with singular nonlinearity', J. Math. Anal. Appl. 323 (2006) 344-359.
    • (2006) J. Math. Anal. Appl , vol.323 , pp. 344-359
    • GUO, H.X.1    GUO, Z.M.2    LI, K.3
  • 14
    • 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. 166 (2006) 309-338.
    • (2006) SIAM J. Appl. Math , vol.166 , pp. 309-338
    • GUO, Y.1    PAN, Z.2    WARD, M.J.3
  • 15
    • 33744509827 scopus 로고    scopus 로고
    • Hausdorff dimension of ruptures for solutions of a semilinear elliptic equation with singular nonlinearity
    • Z. M. GUO and J. C. WEI, 'Hausdorff dimension of ruptures for solutions of a semilinear elliptic equation with singular nonlinearity', Manuscripta Math. 120 (2006) 193-209.
    • (2006) Manuscripta Math , vol.120 , pp. 193-209
    • GUO, Z.M.1    WEI, J.C.2
  • 16
    • 77950689057 scopus 로고    scopus 로고
    • Symmetry of nonnegative solutions of a semilinear elliptic equation with singular nonlinearity
    • Z. M. GUO and J. C. WEI, 'Symmetry of nonnegative solutions of a semilinear elliptic equation with singular nonlinearity', Proc. Roy. Soc. Edinburgh Sect. A 137 (2007) 963-994.
    • (2007) Proc. Roy. Soc. Edinburgh Sect. A , vol.137 , pp. 963-994
    • GUO, Z.M.1    WEI, J.C.2
  • 17
    • 0015557517 scopus 로고
    • Quasilinear Dirichiet problems driven by positive sources
    • D. D. JOSEPH and T. S. LUNDGREN, 'Quasilinear Dirichiet problems driven by positive sources', Arch. Ration, Mech. Anal. 49 (1973) 241-268.
    • (1973) Arch. Ration, Mech. Anal , vol.49 , pp. 241-268
    • JOSEPH, D.D.1    LUNDGREN, T.S.2
  • 18
    • 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) 103-125.
    • (1974) J. Differential Equations , vol.16 , pp. 103-125
    • KEENER, J.P.1    KELLER, H.B.2
  • 19
    • 12744278657 scopus 로고    scopus 로고
    • Stable and singular solutions of the equation Δu = 1,/u
    • A. M. MEADOWS, 'Stable and singular solutions of the equation Δu = 1,/u, Indiana Math. J. 53 (2004) 1681-1703.
    • (2004) Indiana Math. J , vol.53 , pp. 1681-1703
    • MEADOWS, A.M.1
  • 20
    • 84972948243 scopus 로고
    • Sur une classe de problèmes non linéaires avec non linéarité positive, croissante, convexe
    • F. MIGNOT and J.P. PUEL, 'Sur une classe de problèmes non linéaires avec non linéarité positive, croissante, convexe', Comm. Partial Differential Equations 5 (1980) 791-836.
    • (1980) Comm. Partial Differential Equations , vol.5 , pp. 791-836
    • MIGNOT, F.1    PUEL, J.P.2
  • 21
    • 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) 888-908.
    • (2002) SIAM J. Appl. Math , vol.62 , pp. 888-908
    • PELESKO, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.