메뉴 건너뛰기




Volumn 30, Issue 8, 1997, Pages 5251-5258

Positivity properties of elliptic boundary value problems of higher order

Author keywords

Comparison principles; Green function; Hopf lemma; Poisson kernel

Indexed keywords


EID: 0040398598     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0362-546x(96)00164-2     Document Type: Article
Times cited : (23)

References (20)
  • 1
    • 0000574110 scopus 로고
    • 2u = λu which satisfy the clamped plate conditions on a right angle
    • 2u = λu which satisfy the clamped plate conditions on a right angle, SIAM J. Math. Anal. 13, 746-757 (1982).
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 746-757
    • Coffman, C.V.1
  • 2
    • 0011360411 scopus 로고
    • On the structure of biharmonic functions satisfying the clamped plate conditions on a right angle
    • COFFMAN C. V. & DUFFIN R. J., On the structure of biharmonic functions satisfying the clamped plate conditions on a right angle, Adv. Appl. Math. 1, 373-389 (1980).
    • (1980) Adv. Appl. Math. , vol.1 , pp. 373-389
    • Coffman, C.V.1    Duffin, R.J.2
  • 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
    • 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
  • 5
    • 0001467759 scopus 로고
    • On sign variation and the absence of "strong" zeros of solutions of elliptic equations
    • KOZLOV V. A., KONDRAT'EV V. A. & MAZ'YA V. G., On sign variation and the absence of "strong" zeros of solutions of elliptic equations, Math. USSR Izvestiya 34, 337-353 (1990).
    • (1990) Math. USSR Izvestiya , vol.34 , pp. 337-353
    • Kozlov, V.A.1    Kondrat'ev, V.A.2    Maz'ya, V.G.3
  • 6
    • 84972498583 scopus 로고
    • On generation of solutions of the biharmonic equation in the plane by conformal mappings
    • LOEWNER CH., On generation of solutions of the biharmonic equation in the plane by conformal mappings, Pacific J. Math. 3, 417-436 (1953).
    • (1953) Pacific J. Math. , vol.3 , pp. 417-436
    • Loewner, Ch.1
  • 7
    • 0040552123 scopus 로고
    • On green's function for the biharmonic equation in a right angle wedge
    • OSHER ST., On Green's function for the biharmonic equation in a right angle wedge, J. Math. Anal. Appl. 43, 705-716 (1973).
    • (1973) J. Math. Anal. Appl. , vol.43 , pp. 705-716
    • Osher, St.1
  • 8
    • 0028386306 scopus 로고
    • An elementary proof that the biharmonic green function of an eccentric ellipse changes sign
    • SHAPIRO H. S. & TEGMARK M., An elementary proof that the biharmonic Green function of an eccentric ellipse changes sign, SIAM Rev. 36, 99-101 (1994).
    • (1994) SIAM Rev. , vol.36 , pp. 99-101
    • Shapiro, H.S.1    Tegmark, M.2
  • 9
    • 84972511480 scopus 로고
    • Remark on the preceding paper of Charles Loewner
    • SZEGÖ G., Remark on the preceding paper of Charles Loewner, Pacific J. Math. 3, 437-446 (1953).
    • (1953) Pacific J. Math. , vol.3 , pp. 437-446
    • Szegö, G.1
  • 10
    • 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
  • 11
    • 85030057659 scopus 로고    scopus 로고
    • Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions
    • in press
    • GRUNAU H.-CH. & SWEERS G., Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions, Math. Ann., in press.
    • Math. Ann.
    • Grunau, H.-Ch.1    Sweers, G.2
  • 12
    • 0037721541 scopus 로고
    • Positive solutions to semilinear polyharmonic Dirichlet problems involving critical Sobolev exponents
    • GRUNAU H.-CH., Positive solutions to semilinear polyharmonic Dirichlet problems involving critical Sobolev exponents, Calc. Var. 3, 243-252 (1995).
    • (1995) Calc. Var. , vol.3 , pp. 243-252
    • Grunau, H.-Ch.1
  • 13
    • 0042299884 scopus 로고    scopus 로고
    • On a conjecture of P. Pucci and J. Serrin
    • in press
    • GRUNAU H.-CH., On a conjecture of P. Pucci and J. Serrin, Analysis, in press.
    • Analysis
    • Grunau, H.-Ch.1
  • 14
    • 0040490139 scopus 로고    scopus 로고
    • Classical solutions for some higher order semilinear elliptic equations under weak growth conditions
    • in press
    • GRUNAU H.-CH. & SWEERS G., Classical solutions for some higher order semilinear elliptic equations under weak growth conditions, Nonlinear Anal., T. M. A., in press.
    • Nonlinear Anal., T. M. A.
    • Grunau, H.-Ch.1    Sweers, G.2
  • 15
    • 0012284366 scopus 로고
    • A priori estimates and existence of positive solutions of a superlinear polyharmonic equation
    • SORANZO R., A priori estimates and existence of positive solutions of a superlinear polyharmonic equation, Dyn. Syst. Appl. 3, 465-487 (1994).
    • (1994) Dyn. Syst. Appl. , vol.3 , pp. 465-487
    • Soranzo, R.1
  • 16
    • 0013197968 scopus 로고
    • Sulle funzioni di green d'ordine m
    • BOGGIO T., Sulle funzioni di Green d'ordine m, Rend. Circ. Mat. Palermo 20, 97-135 (1905).
    • (1905) Rend. Circ. Mat. Palermo , vol.20 , pp. 97-135
    • Boggio, T.1
  • 18
    • 84980075953 scopus 로고
    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
    • AGMON SH., DOUGLIS A. & NIRENBERG L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I, Commun. Pure Appl. Math. 12, 623-727 (1959).
    • (1959) Commun. Pure Appl. Math. , vol.12 , pp. 623-727
    • Agmon, Sh.1    Douglis, A.2    Nirenberg, L.3
  • 19
    • 0010718424 scopus 로고
    • Maximum theorems for solutions of higher order elliptic equations
    • AGMON SH., Maximum theorems for solutions of higher order elliptic equations, Bull. Amer. Math. Soc. 66, 77-80 (1960).
    • (1960) Bull. Amer. Math. Soc. , vol.66 , pp. 77-80
    • Agmon, Sh.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.