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Volumn 44, Issue 1, 2001, Pages 48-57

Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint

Author keywords

Critical point theory; Elliptic eigenvalue problem; Multiple solutions; Sign changing solution

Indexed keywords


EID: 0035047047     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02872282     Document Type: Article
Times cited : (14)

References (22)
  • 1
    • 0348246536 scopus 로고
    • The Ljusternik-Schnireman theory for indefinite and not necessarily odd nonlinear operators and its applications
    • Zeidler, E., The Ljusternik-Schnireman theory for indefinite and not necessarily odd nonlinear operators and its applications, Nonlinear Analysis T.M.A., 1980, 4: 451.
    • (1980) Nonlinear Analysis T.M.A. , vol.4 , pp. 451
    • Zeidler, E.1
  • 3
    • 0003369169 scopus 로고
    • Minimax Methods in Critical Point Theory with Applications to Differential Equations
    • Amer. Math. Soc., Providence, R. I.
    • Rabinowitz, P. H., Minimax Methods in Critical Point Theory with Applications to Differential Equations, C. B. M. S. 65, Amer. Math. Soc., Providence, R. I., 1985.
    • (1985) C. B. M. S. , vol.65
    • Rabinowitz, P.H.1
  • 4
    • 0348009680 scopus 로고
    • Three solutions of a semilinear elliptic eigenvalue problem
    • Li Yongqing, Three solutions of a semilinear elliptic eigenvalue problem, Acta Math. Sinica, 1995, 11: 142.
    • (1995) Acta Math. Sinica , vol.11 , pp. 142
    • Li, Y.1
  • 5
    • 0000484583 scopus 로고
    • A variant of mountain pass lemma
    • Chang, K. C., A variant of mountain pass lemma, Scientia Sinica, 1983, 26: 1241.
    • (1983) Scientia Sinica , vol.26 , pp. 1241
    • Chang, K.C.1
  • 7
    • 0346118268 scopus 로고
    • On a nonlinear elliptic eigenvalue problem
    • Li Yongqing, On a nonlinear elliptic eigenvalue problem, J. Differential Equations, 1995, 117: 151.
    • (1995) J. Differential Equations , vol.117 , pp. 151
    • Li, Y.1
  • 8
    • 0000437013 scopus 로고    scopus 로고
    • Positive solutions of superlinear elliptic equations
    • Liu Zhaoli, Positive solutions of superlinear elliptic equations, J. Functional Analysis, 1999, 167: 370.
    • (1999) J. Functional Analysis , vol.167 , pp. 370
    • Liu, Z.1
  • 9
    • 0000254183 scopus 로고
    • Variational method and reversed sub- And super-solutions
    • Sun, J. X., Liu, Z. L., Variational method and reversed sub- and super-solutions, Acta Math. Sinica (in Chinese), 1994, 37: 512.
    • (1994) Acta Math. Sinica (in Chinese) , vol.37 , pp. 512
    • Sun, J.X.1    Liu, Z.L.2
  • 10
    • 0000636235 scopus 로고    scopus 로고
    • On the existence of sign changing solutions for semilinear Dirichlet problem
    • Bartsch, T., Wang, Z. Q., On the existence of sign changing solutions for semilinear Dirichlet problem, Top. Meth. Nonl. Anal., 1996, 7: 115.
    • (1996) Top. Meth. Nonl. Anal. , vol.7 , pp. 115
    • Bartsch, T.1    Wang, Z.Q.2
  • 14
    • 0031372470 scopus 로고    scopus 로고
    • A sign-changing solution for a superlinear Dirichlet problem
    • Castro, A., Cossio, J., Neuberger, M., A sign-changing solution for a superlinear Dirichlet problem, Rocky Mountain J. Math., 1997, 27: 1041.
    • (1997) Rocky Mountain J. Math. , vol.27 , pp. 1041
    • Castro, A.1    Cossio, J.2    Neuberger, M.3
  • 15
    • 0000109098 scopus 로고
    • Existence of changing sign solutions for some semilinear problems with jumping nonlinearities at zero
    • Dancer, E. N., Du, Y. H., Existence of changing sign solutions for some semilinear problems with jumping nonlinearities at zero, Proc. Royal Soc. Edinb., 1994, 124A: 1165.
    • (1994) Proc. Royal Soc. Edinb. , vol.124 A , pp. 1165
    • Dancer, E.N.1    Du, Y.H.2
  • 17
    • 0000201099 scopus 로고    scopus 로고
    • An extension of Hess-Kato theorem to elliptic systems and its applications to multiple solution problems
    • Chang, K. C., An extension of Hess-Kato theorem to elliptic systems and its applications to multiple solution problems, Acta Math. Sinica, 1999, 15(4): 439.
    • (1999) Acta Math. Sinica , vol.15 , Issue.4 , pp. 439
    • Chang, K.C.1
  • 21
    • 0007268391 scopus 로고
    • On the existence of positive solutions for a class of semilinear elliptic BVP
    • . Brown, K. J., Budin, H., On the existence of positive solutions for a class of semilinear elliptic BVP, SIAM J. Math. Anal., 1979, 10: 875-883.
    • (1979) SIAM J. Math. Anal. , vol.10 , pp. 875-883
    • Brown, K.J.1    Budin, H.2
  • 22
    • 0001318179 scopus 로고
    • On multiple positive solutions of nonlinear elliptic eigenvalue problems
    • Hess, P., On multiple positive solutions of nonlinear elliptic eigenvalue problems, Comm. P.D.E. , 1981, 6: 951-961.
    • (1981) Comm. P.D.E. , vol.6 , pp. 951-961
    • Hess, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.