메뉴 건너뛰기




Volumn 184, Issue 3, 2005, Pages 361-374

The clamped-plate equation for the limaçon

Author keywords

Biharmonic; Clamped plate; Nonconvex; Positivity

Indexed keywords


EID: 24944466177     PISSN: 03733114     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10231-004-0121-9     Document Type: Article
Times cited : (19)

References (15)
  • 1
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • Amann, H.: Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Rev. 18, 620-709 (1976)
    • (1976) SIAM Rev. , vol.18 , pp. 620-709
    • Amann, H.1
  • 3
    • 85163147563 scopus 로고
    • On a question of Hadamard concerning super-biharmonic functions
    • Duffin, R.J.: On a question of Hadamard concerning super-biharmonic functions. J. Math. Phys. 27, 253-258 (1949)
    • (1949) J. Math. Phys. , vol.27 , pp. 253-258
    • Duffin, R.J.1
  • 4
    • 24944574481 scopus 로고
    • Green's function of an elastic plate in the shape of Pascal's Limacon and clamped along the boundary
    • Dube, R.S.: Green's function of an elastic plate in the shape of Pascal's Limacon and clamped along the boundary. Indian J. Pure Appl. Math. 2, 59-68 (1971)
    • (1971) Indian J. Pure Appl. Math. , vol.2 , pp. 59-68
    • Dube, R.S.1
  • 5
    • 84972500250 scopus 로고
    • A partial differential equation arising in conformal mapping
    • Garabedian, P.R.: A partial differential equation arising in conformal mapping. Pacific J. Math. 1, 485-524 (1951)
    • (1951) Pacific J. Math. , vol.1 , pp. 485-524
    • Garabedian, P.R.1
  • 6
    • 0001958338 scopus 로고    scopus 로고
    • Positivity for perturbations of polyharmonic operators with Dirichlet boundary conditions in two dimensions
    • Grunau, H.-Ch., Sweers, G.: Positivity for perturbations of polyharmonic operators with Dirichlet boundary conditions in two dimensions. Math. Nachr. 179, 89-102 (1996)
    • (1996) Math. Nachr. , vol.179 , pp. 89-102
    • Grunau, H.-Ch.1    Sweers, G.2
  • 7
    • 0031524027 scopus 로고    scopus 로고
    • Positivity for equations involving polyharmonic operators with Dirichlet boundary condition
    • Grunau, H.-Ch., Sweers, G.: Positivity for equations involving polyharmonic operators with Dirichlet boundary condition. Math. Ann. 307, 589-626 (1997)
    • (1997) Math. Ann. , vol.307 , pp. 589-626
    • Grunau, H.-Ch.1    Sweers, G.2
  • 8
    • 0033275620 scopus 로고    scopus 로고
    • Sign change for the Green function and the first eigenfunction of equations of clamped-plate type
    • Grunau, H.-Ch., Sweers, G.: Sign change for the Green function and the first eigenfunction of equations of clamped-plate type. Arch. Ration. Mech. Anal. 150, 179-190 (1999)
    • (1999) Arch. Ration. Mech. Anal. , vol.150 , pp. 179-190
    • Grunau, H.-Ch.1    Sweers, G.2
  • 10
    • 0011810098 scopus 로고
    • Memoire sur le probleme d'analyse relatif a l'equilibrie des plaques elastiques encastrees
    • Œuvres de Jacques Hadamard, Tomes II, Éditions du Centre National de la Recherche Scientifique, Paris 1968. Reprint of: Mèmoire couronne par l'Acadèmie des Sciences (Prix Vaillant)
    • Hadamard, J.: Memoire sur le probleme d'analyse relatif a l'equilibrie des plaques elastiques encastrees. In: Œuvres de Jacques Hadamard, Tomes II, Éditions du Centre National de la Recherche Scientifique, Paris 1968, pp. 515-641. Reprint of: Mèmoire couronne par l'Acadèmie des Sciences (Prix Vaillant). Mèm. Sav. Etrang. 33 (1907)
    • (1907) Mèm. Sav. Etrang. , vol.33 , pp. 515-641
    • Hadamard, J.1
  • 11
    • 0040992747 scopus 로고
    • Sur certains cas interessants du probleme biharmonique
    • Œuvres de Jacques Hadamard, Tomes III, Éditions du Centre National de la Recherche Scientifique, Paris 1968. Reprint of: Rome
    • Hadamard, J.: Sur certains cas interessants du probleme biharmonique. In: Œuvres de Jacques Hadamard, Tomes III, Éditions du Centre National de la Recherche Scientifique, Paris 1968, pp. 1297-1299. Reprint of: IV Congr. Math. (1908) Rome
    • (1908) IV Congr. Math. , pp. 1297-1299
    • Hadamard, J.1
  • 12
    • 10044247633 scopus 로고
    • The green's functions method for the supported plate boundary value problem
    • Schot, S.H.: The Green's Functions Method for the Supported Plate Boundary Value Problem. Z. Anal. Anwend. 11, 359-370 (1992)
    • (1992) Z. Anal. Anwend. , vol.11 , pp. 359-370
    • Schot, S.H.1
  • 13
    • 24944528378 scopus 로고
    • Note on the bending of thin uniformly loaded plates bounded by cardioids, lemniscates and certain other quartic curves
    • Sen, B.: Note on the bending of thin uniformly loaded plates bounded by cardioids, lemniscates and certain other quartic curves. Z. Angew. Math. Mech. 20, 99-103 (1940)
    • (1940) Z. Angew. Math. Mech. , vol.20 , pp. 99-103
    • Sen, B.1
  • 14
    • 24944533078 scopus 로고    scopus 로고
    • When is the first eigenfunction for the clamped plate equation of fixed sign?
    • Sweers, G.: When is the first eigenfunction for the clamped plate equation of fixed sign? Electron. J. Differ. Equ. 6, 285-296 (2001)
    • (2001) Electron. J. Differ. Equ. , vol.6 , pp. 285-296
    • Sweers, G.1
  • 15


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.