메뉴 건너뛰기




Volumn 31, Issue 3-4, 1998, Pages 475-492

Solutions for a class of singular semilinear elliptic equations

Author keywords

Entire solutions; Semilinear elliptic equations; Upper and lower solution method

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0031989659     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00325-2     Document Type: Article
Times cited : (11)

References (20)
  • 1
    • 0007330352 scopus 로고
    • A singular non-linear equation
    • Fulks, W. and Maybee, L. S., A singular non-linear equation. Osaka J. Math., 1960, 12, 1-19.
    • (1960) Osaka J. Math. , vol.12 , pp. 1-19
    • Fulks, W.1    Maybee, L.S.2
  • 2
    • 0019045535 scopus 로고
    • A nonlinear singular boundary value problem in the theory of pseudoplastic fluids
    • Callegari, A. and Nachman, A., A nonlinear singular boundary value problem in the theory of pseudoplastic fluids. SIAM J.Appl. Math., 1980, 38, 275-281.
    • (1980) SIAM J.Appl. Math. , vol.38 , pp. 275-281
    • Callegari, A.1    Nachman, A.2
  • 3
    • 0017982184 scopus 로고
    • Some singular, nonlinear equations arising in boundary layer theory
    • Callegari, A. and Nachman, A., Some singular, nonlinear equations arising in boundary layer theory. J. math. Anal. Appl., 1978, 64, 96-105.
    • (1978) J. Math. Anal. Appl. , vol.64 , pp. 96-105
    • Callegari, A.1    Nachman, A.2
  • 4
    • 0016495927 scopus 로고
    • On the generalized Emden-Fowler equation
    • Wong, J. S. W., On the generalized Emden-Fowler equation. SIAM Review, 1975, 17, 339-360.
    • (1975) SIAM Review , vol.17 , pp. 339-360
    • Wong, J.S.W.1
  • 5
    • 84863910600 scopus 로고
    • On a Dirichlet problem with singular nonlinearity
    • Crandall, M. G., Rabinowitz, P. and Tata, L., On a Dirichlet problem with singular nonlinearity. Comm. PDE, 1977, 2, 193-222.
    • (1977) Comm. PDE , vol.2 , pp. 193-222
    • Crandall, M.G.1    Rabinowitz, P.2    Tata, L.3
  • 6
    • 84971141957 scopus 로고
    • A global estimate for the gradient in a singular elliptic boundary value problem
    • Del Pino, M., A global estimate for the gradient in a singular elliptic boundary value problem. Proc. Roy. Soc. Endinburgh Sect. A., 1992, 122, 341-352.
    • (1992) Proc. Roy. Soc. Endinburgh Sect. A. , vol.122 , pp. 341-352
    • Del Pino, M.1
  • 7
    • 0001500266 scopus 로고
    • On a singular nonlinear elliptic problem
    • Gomes, S., On a singular nonlinear elliptic problem. SIAM Math. Anal., 1986, 17, 1359-1369.
    • (1986) SIAM Math. Anal. , vol.17 , pp. 1359-1369
    • Gomes, S.1
  • 9
    • 0040108649 scopus 로고
    • On the integral equation Kf= 1/f arising in a problem in communications
    • Nowosad, N., On the integral equation Kf= 1/f arising in a problem in communications. J. Math. Anal. Appl., 1966, 14, 484-492.
    • (1966) J. Math. Anal. Appl. , vol.14 , pp. 484-492
    • Nowosad, N.1
  • 10
    • 0007332569 scopus 로고
    • Existence and approximation of solutions of non-linear elliptic equations
    • Stuart, C., Existence and approximation of solutions of non-linear elliptic equations. Math. Z., 1976, 147, 53-63.
    • (1976) Math. Z. , vol.147 , pp. 53-63
    • Stuart, C.1
  • 11
    • 0043017512 scopus 로고
    • Asymptotic solutions of semilinear elliptic equations
    • Kreith, K. and Swanson, C. A., Asymptotic solutions of semilinear elliptic equations. J. Math. Anal. Appl., 1984, 98, 148-157.
    • (1984) J. Math. Anal. Appl. , vol.98 , pp. 148-157
    • Kreith, K.1    Swanson, C.A.2
  • 12
    • 0010838329 scopus 로고
    • Asymptotic properties of semilinear elliptic equations
    • Kusano, T. and Swanson, A., Asymptotic properties of semilinear elliptic equations. Funkcial Ekvac., 1983, 26, 115-129.
    • (1983) Funkcial Ekvac. , vol.26 , pp. 115-129
    • Kusano, T.1    Swanson, A.2
  • 13
    • 0000074828 scopus 로고
    • Positive solutions of quasilinear elliptic equations in exterior domains
    • Noussair, E. S. and Swanson, C. A., Positive solutions of quasilinear elliptic equations in exterior domains. J. Math. Anal. Appl., 1980, 75, 121-133.
    • (1980) J. Math. Anal. Appl. , vol.75 , pp. 121-133
    • Noussair, E.S.1    Swanson, C.A.2
  • 14
    • 0001657032 scopus 로고
    • Solutions d'equations elliptiques semi-linearires singulieres
    • Dalmasso, R., Solutions d'equations elliptiques semi-linearires singulieres. Ann. Mat. Pura. Appl., 1988, 153, 191-201.
    • (1988) Ann. Mat. Pura. Appl. , vol.153 , pp. 191-201
    • Dalmasso, R.1
  • 15
    • 0000054020 scopus 로고
    • Entire solutions of singular elliptic equations
    • Edelson, A., Entire solutions of singular elliptic equations. J. Math. Anal. Appl., 1989, 139, 523-532.
    • (1989) J. Math. Anal. Appl. , vol.139 , pp. 523-532
    • Edelson, A.1
  • 16
    • 0000874718 scopus 로고
    • Entrie postive solutions of singular semilinear elliptic equations
    • Kusano, T. and Swanson, A., Entrie postive solutions of singular semilinear elliptic equations. Japan J. Math. (N.S.), 1985, 11, 145-154.
    • (1985) Japan J. Math. (N.S.) , vol.11 , pp. 145-154
    • Kusano, T.1    Swanson, A.2
  • 17
    • 0000912532 scopus 로고
    • On singular semilinear elliptic equations
    • Shaker, A. W., On singular semilinear elliptic equations. J. Math. Anal. Appl., 1993, 173, 222-228.
    • (1993) J. Math. Anal. Appl. , vol.173 , pp. 222-228
    • Shaker, A.W.1
  • 18
    • 0000855213 scopus 로고
    • (n+2)/(n-2) = 0, its generalization, and application in geometry
    • (n+2)/(n-2) = 0, its generalization, and application in geometry. Indiana Uni. Math. J., 1982, 31, 493-529.
    • (1982) Indiana Uni. Math. J. , vol.31 , pp. 493-529
    • Ni, W.M.1
  • 19
    • 84980157300 scopus 로고
    • Invariant criteria for existence of solutions to second-order quasi-linear elliptic equations
    • Kazdan, J. and Kramer, R., Invariant criteria for existence of solutions to second-order quasi-linear elliptic equations. Comm. Pure Appl. Math., 1978, 31, 619-645.
    • (1978) Comm. Pure Appl. Math. , vol.31 , pp. 619-645
    • Kazdan, J.1    Kramer, R.2
  • 20
    • 0038954686 scopus 로고
    • A truncation method for semilinear elliptic equations
    • Jin, Z., A truncation method for semilinear elliptic equations. Comm. PDE, 1994, 19, 605-616.
    • (1994) Comm. PDE , vol.19 , pp. 605-616
    • Jin, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.