메뉴 건너뛰기




Volumn 57, Issue 3, 2004, Pages 473-484

Existence and optimal estimates of solutions for singular nonlinear Dirichlet problems

Author keywords

Dirichlet problems; Existence; Optimal approximations; Semilinear elliptic equations; Singularity

Indexed keywords

APPROXIMATION THEORY; FLUID MECHANICS; FUNCTION EVALUATION; HEAT CONDUCTION; NONLINEAR EQUATIONS; PROBLEM SOLVING; SET THEORY;

EID: 2342469943     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.02.025     Document Type: Article
Times cited : (84)

References (22)
  • 3
    • 0034230620 scopus 로고    scopus 로고
    • Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems
    • Cui S. Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems. Nonlinear Anal. 41:2000;149-176.
    • (2000) Nonlinear Anal. , vol.41 , pp. 149-176
    • Cui, S.1
  • 4
    • 0001060553 scopus 로고
    • Positive solutions for Dirichlet problems associated to semilinear elliptic equations with a singular nonlinearity
    • Cui S. Positive solutions for Dirichlet problems associated to semilinear elliptic equations with a singular nonlinearity. Nonlinear Anal. 21:1993;181-190.
    • (1993) Nonlinear Anal. , vol.21 , pp. 181-190
    • Cui, S.1
  • 5
    • 0007330352 scopus 로고
    • A singular nonlinear elliptic equations
    • Fulks W., Maybee J.S. A singular nonlinear elliptic equations. Osaka J. Math. 12:1960;1-19.
    • (1960) Osaka J. Math. , vol.12 , pp. 1-19
    • Fulks, W.1    Maybee, J.S.2
  • 6
    • 0141738636 scopus 로고    scopus 로고
    • Bifurcation and asymptotics for the Lane-Emden-Fowler equation
    • Ghergu M., Radulescu V.D. Bifurcation and asymptotics for the Lane-Emden-Fowler equation. C. R. Acad. Sci. Paris, Ser. I. 337:2003;259-264.
    • (2003) C. R. Acad. Sci. Paris, Ser. I. , vol.337 , pp. 259-264
    • Ghergu, M.1    Radulescu, V.D.2
  • 7
    • 0345547743 scopus 로고    scopus 로고
    • Sublinear singular elliptic problems with two parameters
    • Ghergu M., Radulescu V.D. Sublinear singular elliptic problems with two parameters. J. Differential Equations. 195:2003;520-536.
    • (2003) J. Differential Equations , vol.195 , pp. 520-536
    • Ghergu, M.1    Radulescu, V.D.2
  • 8
    • 0001500266 scopus 로고
    • On a singular nonlinear elliptic problem
    • Gomes S.M. On a singular nonlinear elliptic problem. SIAM J. Math. Anal. 17:1986;1359-1369.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 1359-1369
    • Gomes, S.M.1
  • 9
    • 0031177373 scopus 로고    scopus 로고
    • Classical and weak solutions of a singular elliptic problem
    • Lair A.V., Shaker A.W. Classical and weak solutions of a singular elliptic problem. J. Math. Anal. Appl. 211:1997;371-385.
    • (1997) J. Math. Anal. Appl. , vol.211 , pp. 371-385
    • Lair, A.V.1    Shaker, A.W.2
  • 10
    • 0030159639 scopus 로고    scopus 로고
    • Entire solutions of singular semilinear elliptic problems
    • Lair A.V., Shaker A.W. Entire solutions of singular semilinear elliptic problems. J. Math Anal. Appl. 200:1996;498-505.
    • (1996) J. Math Anal. Appl. , vol.200 , pp. 498-505
    • Lair, A.V.1    Shaker, A.W.2
  • 11
    • 84968514134 scopus 로고
    • On a singular elliptic boundary value problem
    • Lazer A.C., McKenna P.J. On a singular elliptic boundary value problem. Proc. Amer. Math. Soc. 111:1991;721-730.
    • (1991) Proc. Amer. Math. Soc. , vol.111 , pp. 721-730
    • Lazer, A.C.1    Mckenna, P.J.2
  • 12
    • 84972535485 scopus 로고
    • Asymptotic behavior of solutions of boundary blowup problems
    • Lazer A.C., McKenna P.J. Asymptotic behavior of solutions of boundary blowup problems. J. Differential Integral Equations. 7:1994;1001-1019.
    • (1994) J. Differential Integral Equations , vol.7 , pp. 1001-1019
    • Lazer, A.C.1    Mckenna, P.J.2
  • 13
    • 2342556534 scopus 로고    scopus 로고
    • Sign Changing solutions to singular second order boundary value problems
    • McKenna P.J., Reichel W. Sign Changing solutions to singular second order boundary value problems. Nonlinear Anal. 32:1998;304-314.
    • (1998) Nonlinear Anal. , vol.32 , pp. 304-314
    • Mckenna, P.J.1    Reichel, W.2
  • 14
    • 0035891515 scopus 로고    scopus 로고
    • Existence and estimates of solutions for singular nonlinear elliptic problems
    • Magli H., Zribi M. Existence and estimates of solutions for singular nonlinear elliptic problems. J. Math. Anal. Appl. 263:2001;522-542.
    • (2001) J. Math. Anal. Appl. , vol.263 , pp. 522-542
    • Magli, H.1    Zribi, M.2
  • 15
    • 0346621913 scopus 로고
    • A nonlinear singular boundary value problem in the theory of pseudoplastic fluids
    • Nachman A., Callegari A. A nonlinear singular boundary value problem in the theory of pseudoplastic fluids. SIAM J. Appl. Math. 28:1986;271-281.
    • (1986) SIAM J. Appl. Math. , vol.28 , pp. 271-281
    • Nachman, A.1    Callegari, A.2
  • 16
    • 22444455186 scopus 로고    scopus 로고
    • On a singular semilinear elliptic problem
    • Shi J., Yao M. On a singular semilinear elliptic problem. Proc. Roy. Soc. Edinburgh Sec. A. 128:1998;1389-1401.
    • (1998) Proc. Roy. Soc. Edinburgh Sec. A , vol.128 , pp. 1389-1401
    • Shi, J.1    Yao, M.2
  • 17
    • 0007332569 scopus 로고
    • Existence and approximation of solutions of nonlinear elliptic equations
    • Stuart C.A. Existence and approximation of solutions of nonlinear elliptic equations. Math. Z. 147:1976;53-63.
    • (1976) Math. Z. , vol.147 , pp. 53-63
    • Stuart, C.A.1
  • 18
    • 38249007274 scopus 로고
    • On a singular nonlinear elliptic boundary value problem in a ball
    • Usami H. On a singular nonlinear elliptic boundary value problem in a ball. Nonlinear Anal. 13:1989;1163-1170.
    • (1989) Nonlinear Anal. , vol.13 , pp. 1163-1170
    • Usami, H.1
  • 19
    • 0035505584 scopus 로고    scopus 로고
    • Combined effects of singular and superlinear nonlinearities in some singular boundary value problems
    • Yijing Sun, Shaoping Wu, Yiming Long, Combined effects of singular and superlinear nonlinearities in some singular boundary value problems, J. Differential Equations 176 (2001) 511-531.
    • (2001) J. Differential Equations , vol.176 , pp. 511-531
    • Sun, Y.1    Wu, S.2    Long, Y.3
  • 20
    • 0037431219 scopus 로고    scopus 로고
    • Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem
    • Haitao Yang, Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem, J. Differential Equations 189 (2003) 487-512.
    • (2003) J. Differential Equations , vol.189 , pp. 487-512
    • Yang, H.1
  • 21
    • 0031272637 scopus 로고    scopus 로고
    • A remark on the existence of entire solutions of a singular semilinear elliptic problem
    • Zhijun. Zhang, A remark on the existence of entire solutions of a singular semilinear elliptic problem, J. Math. Anal. Appl. 215 (1997) 570-582.
    • (1997) J. Math. Anal. Appl. , vol.215 , pp. 570-582
    • Zhang, Z.1
  • 22
    • 0034353711 scopus 로고    scopus 로고
    • On a singular nonlinear Dirichlet problem with a convection term
    • Zhijun. Zhang, Jianning Yu, On a singular nonlinear Dirichlet problem with a convection term, SIAM J. Math. Anal. 32 (2000) 916-927.
    • (2000) SIAM J. Math. Anal. , vol.32 , pp. 916-927
    • Zhang, Z.1    Yu, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.