메뉴 건너뛰기




Volumn 20, Issue 5, 1999, Pages 1875-1904

Finite element approximation of semilinear elliptic partial differential equations with critical exponents in the cube

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; LINEAR EQUATIONS; NONLINEAR EQUATIONS; PIECEWISE LINEAR TECHNIQUES; VARIATIONAL TECHNIQUES;

EID: 0033297031     PISSN: 10648275     EISSN: None     Source Type: None    
DOI: 10.1137/S1064827596312134     Document Type: Article
Times cited : (5)

References (16)
  • 1
    • 84990619601 scopus 로고
    • Elliptic equations with limiting Sobolev exponents - The impact of topology
    • H. BREZIS, Elliptic equations with limiting Sobolev exponents - the impact of topology, Comm. Pure Appl. Math., 39 (1986), pp. S17-S39.
    • (1986) Comm. Pure Appl. Math. , vol.39
    • Brezis, H.1
  • 2
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • H. BREZIS AND L. NIRENBERG, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math., 36 (1983), pp. 437-477.
    • (1983) Comm. Pure Appl. Math. , vol.36 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 4
    • 84976003159 scopus 로고
    • Semilinear elliptic equations with near critical growth rates
    • C. BUDD, Semilinear elliptic equations with near critical growth rates, Proc. Roy. Soc. Edinburgh, Sect. A, 107 (1987), pp. 249-270.
    • (1987) Proc. Roy. Soc. Edinburgh, Sect. A , vol.107 , pp. 249-270
    • Budd, C.1
  • 5
    • 0012264151 scopus 로고    scopus 로고
    • Weak finite dimensional approximations of radial solutions of semi-linear elliptic PDEs with near critical exponents
    • C. BUDD AND A. HUMPHRIES, Weak finite dimensional approximations of radial solutions of semi-linear elliptic PDEs with near critical exponents, J. Asymptotic Anal., 17 (1998), pp. 185-220.
    • (1998) J. Asymptotic Anal. , vol.17 , pp. 185-220
    • Budd, C.1    Humphries, A.2
  • 6
    • 0031633525 scopus 로고    scopus 로고
    • Adaptive methods for semilinear elliptic equations with critical exponents and interior singularities
    • C. BUDD AND A. HUMPHRIES, Adaptive methods for semilinear elliptic equations with critical exponents and interior singularities, Appl. Numer. Math., 26 (1998), pp. 227-240.
    • (1998) Appl. Numer. Math. , vol.26 , pp. 227-240
    • Budd, C.1    Humphries, A.2
  • 9
    • 0012356898 scopus 로고
    • Finite element methods for nonlinear elliptic systems of second order
    • M. DOBROWOLSKI AND R. RANNACHER, Finite element methods for nonlinear elliptic systems of second order, Math. Nachr., 94 (1980), pp. 155-172.
    • (1980) Math. Nachr. , vol.94 , pp. 155-172
    • Dobrowolski, M.1    Rannacher, R.2
  • 10
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • W.-M. GIDAS, B. NI, AND L. NIRENBERG, Symmetry and related properties via the maximum principle, Comm. Math. Phys., 68 (1979), pp. 209-243.
    • (1979) Comm. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, W.-M.1    Ni, B.2    Nirenberg, L.3
  • 11
    • 0001751654 scopus 로고
    • On the existence of positive solutions of semilinear elliptic equations
    • P. LIONS, On the existence of positive solutions of semilinear elliptic equations, SIAM Rev., 24 (1982), pp. 441-467.
    • (1982) SIAM Rev. , vol.24 , pp. 441-467
    • Lions, P.1
  • 12
    • 0002262211 scopus 로고
    • Stability and convergence in numerical analysis iii: Linear investigation of nonlinear stability
    • J. LOPEZ-MARCOS AND J. SANZ-SERNA, Stability and convergence in numerical analysis iii: Linear investigation of nonlinear stability, IMA J. Numer. Anal., 8 (1986), pp. 71-84.
    • (1986) IMA J. Numer. Anal. , vol.8 , pp. 71-84
    • Lopez-Marcos, J.1    Sanz-Serna, J.2
  • 14
  • 15
    • 0011035833 scopus 로고
    • Convergent and spurious solutions of nonlinear elliptic equations
    • T. MURDOCH AND C. BUDD, Convergent and spurious solutions of nonlinear elliptic equations, IMA J. Numer. Anal., 12 (1992), pp. 365-386.
    • (1992) IMA J. Numer. Anal. , vol.12 , pp. 365-386
    • Murdoch, T.1    Budd, C.2
  • 16
    • 84972506352 scopus 로고
    • Conformal deformation of a Riemannian metric to constant scalar curvature
    • R. SCHOEN, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom., 20 (1984), pp. 479-495.
    • (1984) J. Differential Geom. , vol.20 , pp. 479-495
    • Schoen, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.