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Volumn 19, Issue 6, 2002, Pages 871-888

Nehari's problem and competing species systems

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; LINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 0345152513     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(02)00104-X     Document Type: Article
Times cited : (161)

References (24)
  • 1
    • 0000636235 scopus 로고    scopus 로고
    • On the existence of changing sign solutions for semilinear Dirichlet problem
    • Bartsch T., Wang Z.Q. On the existence of changing sign solutions for semilinear Dirichlet problem. Topol. Methods Nonlinear Anal. 7:1997;115-131.
    • (1997) Topol. Methods Nonlinear Anal. , vol.7 , pp. 115-131
    • Bartsch, T.1    Wang, Z.Q.2
  • 4
    • 0031372470 scopus 로고    scopus 로고
    • A sign-changing solution for a superlinear Dirichlet problem
    • Castro A., Cossio J., Neuberger J.M. A sign-changing solution for a superlinear Dirichlet problem. Rocky Mountain J. Math. 27:1997;1041-1053.
    • (1997) Rocky Mountain J. Math. , vol.27 , pp. 1041-1053
    • Castro, A.1    Cossio, J.2    Neuberger, J.M.3
  • 5
    • 3342925295 scopus 로고    scopus 로고
    • A minimax principle, index of critical point, and existence of sign changing solutions to elliptic boundary value problems
    • Castro A., Cossio J., Neuberger J.M. A minimax principle, index of critical point, and existence of sign changing solutions to elliptic boundary value problems. Electron. J. Differential Equations. 2:1998.
    • (1998) Electron. J. Differential Equations , vol.2
    • Castro, A.1    Cossio, J.2    Neuberger, J.M.3
  • 6
    • 0021618680 scopus 로고
    • Stable coexistence in the Volterra-Lotka competition model with diffusion
    • Cosner C., Lazner A. Stable coexistence in the Volterra-Lotka competition model with diffusion. SIAM J. Math. Anal. 44:1984;1112-1132.
    • (1984) SIAM J. Math. Anal. , vol.44 , pp. 1112-1132
    • Cosner, C.1    Lazner, A.2
  • 7
    • 0006846186 scopus 로고    scopus 로고
    • Remarks on variational methods and lower-upper solutions
    • Conti M., Merizzi L., Terracini S. Remarks on variational methods and lower-upper solutions. NoDEA. 6:1999;371-393.
    • (1999) NoDEA , vol.6 , pp. 371-393
    • Conti, M.1    Merizzi, L.2    Terracini, S.3
  • 8
    • 0012728860 scopus 로고
    • Competing species systems with diffusion and large interaction
    • Dancer E.N. Competing species systems with diffusion and large interaction. Rend. Sem. Mat. Fis. Milano. 65:1995;23-33.
    • (1995) Rend. Sem. Mat. Fis. Milano , vol.65 , pp. 23-33
    • Dancer, E.N.1
  • 9
    • 0001002603 scopus 로고
    • On positive solutions of some pairs of differential equations
    • Dancer E.N. On positive solutions of some pairs of differential equations. Trans. Amer. Math. Soc. 284:1984;729-743.
    • (1984) Trans. Amer. Math. Soc. , vol.284 , pp. 729-743
    • Dancer, E.N.1
  • 10
    • 0000695246 scopus 로고
    • On positive solutions of some pairs of differential equations, II
    • Dancer E.N. On positive solutions of some pairs of differential equations, II. J. Differential Equations. 60:1985;236-258.
    • (1985) J. Differential Equations , vol.60 , pp. 236-258
    • Dancer, E.N.1
  • 11
    • 84966251421 scopus 로고
    • On the existence and uniqueness of positive solutions for competing species models with diffusion
    • Dancer E.N. On the existence and uniqueness of positive solutions for competing species models with diffusion. Trans. Amer. Math. Soc. 326:1991;829-859.
    • (1991) Trans. Amer. Math. Soc. , vol.326 , pp. 829-859
    • Dancer, E.N.1
  • 12
    • 0000814522 scopus 로고    scopus 로고
    • A counterexample on competing species equations
    • Dancer E.N. A counterexample on competing species equations. Differential Integral Equations. 9:1996;239-246.
    • (1996) Differential Integral Equations , vol.9 , pp. 239-246
    • Dancer, E.N.1
  • 13
    • 38249004657 scopus 로고
    • On uniqueness and stability for solutions of singularly perturbed predator-prey type equations with diffusion
    • Dancer E.N. On uniqueness and stability for solutions of singularly perturbed predator-prey type equations with diffusion. J. Differential Equations. 102:1993;1-32.
    • (1993) J. Differential Equations , vol.102 , pp. 1-32
    • Dancer, E.N.1
  • 14
    • 0001421282 scopus 로고
    • On sign-changing solutions of certain semilinear elliptic problems
    • Dancer E.N., Du Y.H. On sign-changing solutions of certain semilinear elliptic problems. Appl. Anal. 56:1995;193-206.
    • (1995) Appl. Anal. , vol.56 , pp. 193-206
    • Dancer, E.N.1    Du, Y.H.2
  • 15
    • 58149321092 scopus 로고
    • Positive solutions for a three-species competition system with diffusion. I. General existence results
    • Dancer E.N., Du Y.H. Positive solutions for a three-species competition system with diffusion. I. General existence results. Nonlinear Anal. 24:1995;337-357.
    • (1995) Nonlinear Anal. , vol.24 , pp. 337-357
    • Dancer, E.N.1    Du, Y.H.2
  • 16
    • 58149322315 scopus 로고
    • Positive solutions for a three-species competition system with diffusion. II. The case of equal birth rates
    • Dancer E.N., Du Y.H. Positive solutions for a three-species competition system with diffusion. II. The case of equal birth rates. Nonlinear Anal. 24:1995;359-373.
    • (1995) Nonlinear Anal. , vol.24 , pp. 359-373
    • Dancer, E.N.1    Du, Y.H.2
  • 17
    • 0001185909 scopus 로고
    • Competing species equations with diffusion, large interactions, and jumping nonlinearities
    • Dancer E.N., Du Y.H. Competing species equations with diffusion, large interactions, and jumping nonlinearities. J. Differential Equations. 114:1994;434-475.
    • (1994) J. Differential Equations , vol.114 , pp. 434-475
    • Dancer, E.N.1    Du, Y.H.2
  • 18
    • 0001853554 scopus 로고
    • Uniqueness and stability for solutions of competing species equations with large interactions
    • Dancer E.N., Guo Z.M. Uniqueness and stability for solutions of competing species equations with large interactions. Comm. Appl. Nonlinear Anal. 1:1994;19-45.
    • (1994) Comm. Appl. Nonlinear Anal. , vol.1 , pp. 19-45
    • Dancer, E.N.1    Guo, Z.M.2
  • 19
    • 0000716962 scopus 로고
    • On the existence and uniqueness of positive steady states in Lotka-Volterra ecological models with diffusion
    • Korman P., Leung A. On the existence and uniqueness of positive steady states in Lotka-Volterra ecological models with diffusion. Appl. Anal. 26:1987;145-160.
    • (1987) Appl. Anal. , vol.26 , pp. 145-160
    • Korman, P.1    Leung, A.2
  • 20
    • 0001509567 scopus 로고
    • On steady state solutions of a system of reaction-diffusion equations from biology
    • Lazer A.C., McKenna P.J. On steady state solutions of a system of reaction-diffusion equations from biology. Nonlinear Anal. TMA. 6:1982;523-530.
    • (1982) Nonlinear Anal. TMA , vol.6 , pp. 523-530
    • Lazer, A.C.1    McKenna, P.J.2
  • 21
    • 0003025632 scopus 로고
    • Un'osservazione sul teorema di Brouwer
    • Miranda C. Un'osservazione sul teorema di Brouwer. Boll. U.M.I. Serie II, Anno II. 1:1940;5-7.
    • (1940) Boll. U.M.I. Serie II, Anno II , vol.1 , pp. 5-7
    • Miranda, C.1
  • 22
    • 51249193155 scopus 로고
    • Characteristic values associated with a class of nonlinear second order differential equations
    • Nehari Z. Characteristic values associated with a class of nonlinear second order differential equations. Acta Math. 105:1961;141-175.
    • (1961) Acta Math. , vol.105 , pp. 141-175
    • Nehari, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.